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Finding the Fourth Proportional to 117,534.68, 176,328.12 and 38,645.72

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Solution

The fourth proportional to 117,534.68, 176,328.12 and 38,645.72 is: 57,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534.68 : 176,328.12 = 38,645.72 : x
  2. Step 2: Convert to fraction form
    117,534.68/176,328.12 = 38,645.72/x
  3. Step 3: Cross multiply
    117,534.68x = 176,328.12 × 38,645.72
  4. Step 4: Simplify right side
    117,534.68x = 6,814,327,153.65
  5. Step 5: Solve for x
    x = 6,814,327,153.65/117,534.68
  6. Step 6: Final answer
    x = 57,977.16

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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.