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Finding the Fourth Proportional to 94,160, 129,952.32 and 54,416

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Solution

The fourth proportional to 94,160, 129,952.32 and 54,416 is: 75,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,160 : 129,952.32 = 54,416 : x
  2. Step 2: Convert to fraction form
    94,160/129,952.32 = 54,416/x
  3. Step 3: Cross multiply
    94,160x = 129,952.32 × 54,416
  4. Step 4: Simplify right side
    94,160x = 7,071,485,445.12
  5. Step 5: Solve for x
    x = 7,071,485,445.12/94,160
  6. Step 6: Final answer
    x = 75,100.74

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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.