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Finding the Fourth Proportional to 76,891.47, 115,443.45 and 53,140.50

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Solution

The fourth proportional to 76,891.47, 115,443.45 and 53,140.50 is: 79,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.47 : 115,443.45 = 53,140.50 : x
  2. Step 2: Convert to fraction form
    76,891.47/115,443.45 = 53,140.50/x
  3. Step 3: Cross multiply
    76,891.47x = 115,443.45 × 53,140.50
  4. Step 4: Simplify right side
    76,891.47x = 6,134,722,389.02
  5. Step 5: Solve for x
    x = 6,134,722,389.02/76,891.47
  6. Step 6: Final answer
    x = 79,784.17

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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.