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Finding the Fourth Proportional to 93,942, 129,708 and 60,466.32

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Solution

The fourth proportional to 93,942, 129,708 and 60,466.32 is: 83,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,942 : 129,708 = 60,466.32 : x
  2. Step 2: Convert to fraction form
    93,942/129,708 = 60,466.32/x
  3. Step 3: Cross multiply
    93,942x = 129,708 × 60,466.32
  4. Step 4: Simplify right side
    93,942x = 7,842,965,434.56
  5. Step 5: Solve for x
    x = 7,842,965,434.56/93,942
  6. Step 6: Final answer
    x = 83,487.32

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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.