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Finding the Fourth Proportional to 76,892.47, 115,444.95 and 53,141.50

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Solution

The fourth proportional to 76,892.47, 115,444.95 and 53,141.50 is: 79,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.47 : 115,444.95 = 53,141.50 : x
  2. Step 2: Convert to fraction form
    76,892.47/115,444.95 = 53,141.50/x
  3. Step 3: Cross multiply
    76,892.47x = 115,444.95 × 53,141.50
  4. Step 4: Simplify right side
    76,892.47x = 6,134,917,810.43
  5. Step 5: Solve for x
    x = 6,134,917,810.43/76,892.47
  6. Step 6: Final answer
    x = 79,785.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.