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Finding the Fourth Proportional to 117,523.78, 176,307.54 and 38,641.12

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Solution

The fourth proportional to 117,523.78, 176,307.54 and 38,641.12 is: 57,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523.78 : 176,307.54 = 38,641.12 : x
  2. Step 2: Convert to fraction form
    117,523.78/176,307.54 = 38,641.12/x
  3. Step 3: Cross multiply
    117,523.78x = 176,307.54 × 38,641.12
  4. Step 4: Simplify right side
    117,523.78x = 6,812,720,810.04
  5. Step 5: Solve for x
    x = 6,812,720,810.04/117,523.78
  6. Step 6: Final answer
    x = 57,968.87

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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.