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Finding the Fourth Proportional to 73,510.94, 109,934.10 and 56,641.88

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Solution

The fourth proportional to 73,510.94, 109,934.10 and 56,641.88 is: 84,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,510.94 : 109,934.10 = 56,641.88 : x
  2. Step 2: Convert to fraction form
    73,510.94/109,934.10 = 56,641.88/x
  3. Step 3: Cross multiply
    73,510.94x = 109,934.10 × 56,641.88
  4. Step 4: Simplify right side
    73,510.94x = 6,226,874,100.11
  5. Step 5: Solve for x
    x = 6,226,874,100.11/73,510.94
  6. Step 6: Final answer
    x = 84,706.77

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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.