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Finding the Fourth Proportional to 117,830.78, 176,706.53 and 37,849.13

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Solution

The fourth proportional to 117,830.78, 176,706.53 and 37,849.13 is: 56,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,830.78 : 176,706.53 = 37,849.13 : x
  2. Step 2: Convert to fraction form
    117,830.78/176,706.53 = 37,849.13/x
  3. Step 3: Cross multiply
    117,830.78x = 176,706.53 × 37,849.13
  4. Step 4: Simplify right side
    117,830.78x = 6,688,187,353.04
  5. Step 5: Solve for x
    x = 6,688,187,353.04/117,830.78
  6. Step 6: Final answer
    x = 56,760.96

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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.