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Finding the Fourth Proportional to 64,142.62, 88,541.51 and 57,416.38

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Solution

The fourth proportional to 64,142.62, 88,541.51 and 57,416.38 is: 79,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.62 : 88,541.51 = 57,416.38 : x
  2. Step 2: Convert to fraction form
    64,142.62/88,541.51 = 57,416.38/x
  3. Step 3: Cross multiply
    64,142.62x = 88,541.51 × 57,416.38
  4. Step 4: Simplify right side
    64,142.62x = 5,083,732,475.50
  5. Step 5: Solve for x
    x = 5,083,732,475.50/64,142.62
  6. Step 6: Final answer
    x = 79,256.70

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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.