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Finding the Fourth Proportional to 70,878.64, 106,328.34 and 25,902.22

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Solution

The fourth proportional to 70,878.64, 106,328.34 and 25,902.22 is: 38,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.64 : 106,328.34 = 25,902.22 : x
  2. Step 2: Convert to fraction form
    70,878.64/106,328.34 = 25,902.22/x
  3. Step 3: Cross multiply
    70,878.64x = 106,328.34 × 25,902.22
  4. Step 4: Simplify right side
    70,878.64x = 2,754,140,054.91
  5. Step 5: Solve for x
    x = 2,754,140,054.91/70,878.64
  6. Step 6: Final answer
    x = 38,857.12

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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.