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Finding the Fourth Proportional to 105,070.87, 157,467.44 and 38,446.85

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Solution

The fourth proportional to 105,070.87, 157,467.44 and 38,446.85 is: 57,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,070.87 : 157,467.44 = 38,446.85 : x
  2. Step 2: Convert to fraction form
    105,070.87/157,467.44 = 38,446.85/x
  3. Step 3: Cross multiply
    105,070.87x = 157,467.44 × 38,446.85
  4. Step 4: Simplify right side
    105,070.87x = 6,054,127,535.35
  5. Step 5: Solve for x
    x = 6,054,127,535.35/105,070.87
  6. Step 6: Final answer
    x = 57,619.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.