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Finding the Fourth Proportional to 76,232.76, 114,349.14 and 34,691.64

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Solution

The fourth proportional to 76,232.76, 114,349.14 and 34,691.64 is: 52,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.76 : 114,349.14 = 34,691.64 : x
  2. Step 2: Convert to fraction form
    76,232.76/114,349.14 = 34,691.64/x
  3. Step 3: Cross multiply
    76,232.76x = 114,349.14 × 34,691.64
  4. Step 4: Simplify right side
    76,232.76x = 3,966,959,199.19
  5. Step 5: Solve for x
    x = 3,966,959,199.19/76,232.76
  6. Step 6: Final answer
    x = 52,037.46

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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.