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Finding the Fourth Proportional to 56,460.43, 77,915.16 and 30,966.12

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Solution

The fourth proportional to 56,460.43, 77,915.16 and 30,966.12 is: 42,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,460.43 : 77,915.16 = 30,966.12 : x
  2. Step 2: Convert to fraction form
    56,460.43/77,915.16 = 30,966.12/x
  3. Step 3: Cross multiply
    56,460.43x = 77,915.16 × 30,966.12
  4. Step 4: Simplify right side
    56,460.43x = 2,412,730,194.38
  5. Step 5: Solve for x
    x = 2,412,730,194.38/56,460.43
  6. Step 6: Final answer
    x = 42,733.12

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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.