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Finding the Fourth Proportional to 75,737.61, 113,606.42 and 23,146.65

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Solution

The fourth proportional to 75,737.61, 113,606.42 and 23,146.65 is: 34,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737.61 : 113,606.42 = 23,146.65 : x
  2. Step 2: Convert to fraction form
    75,737.61/113,606.42 = 23,146.65/x
  3. Step 3: Cross multiply
    75,737.61x = 113,606.42 × 23,146.65
  4. Step 4: Simplify right side
    75,737.61x = 2,629,607,925.76
  5. Step 5: Solve for x
    x = 2,629,607,925.76/75,737.61
  6. Step 6: Final answer
    x = 34,719.98

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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.