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Finding the Fourth Proportional to 78,045.87, 107,703.58 and 42,235.87

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Solution

The fourth proportional to 78,045.87, 107,703.58 and 42,235.87 is: 58,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045.87 : 107,703.58 = 42,235.87 : x
  2. Step 2: Convert to fraction form
    78,045.87/107,703.58 = 42,235.87/x
  3. Step 3: Cross multiply
    78,045.87x = 107,703.58 × 42,235.87
  4. Step 4: Simplify right side
    78,045.87x = 4,548,954,403.41
  5. Step 5: Solve for x
    x = 4,548,954,403.41/78,045.87
  6. Step 6: Final answer
    x = 58,285.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.