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Finding the Fourth Proportional to 76,468.61, 105,497.24 and 56,373.27

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Solution

The fourth proportional to 76,468.61, 105,497.24 and 56,373.27 is: 77,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468.61 : 105,497.24 = 56,373.27 : x
  2. Step 2: Convert to fraction form
    76,468.61/105,497.24 = 56,373.27/x
  3. Step 3: Cross multiply
    76,468.61x = 105,497.24 × 56,373.27
  4. Step 4: Simplify right side
    76,468.61x = 5,947,223,717.29
  5. Step 5: Solve for x
    x = 5,947,223,717.29/76,468.61
  6. Step 6: Final answer
    x = 77,773.40

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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.