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Finding the Fourth Proportional to 117,357.84, 176,061.26 and 38,465.86

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Solution

The fourth proportional to 117,357.84, 176,061.26 and 38,465.86 is: 57,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,357.84 : 176,061.26 = 38,465.86 : x
  2. Step 2: Convert to fraction form
    117,357.84/176,061.26 = 38,465.86/x
  3. Step 3: Cross multiply
    117,357.84x = 176,061.26 × 38,465.86
  4. Step 4: Simplify right side
    117,357.84x = 6,772,347,778.58
  5. Step 5: Solve for x
    x = 6,772,347,778.58/117,357.84
  6. Step 6: Final answer
    x = 57,706.82

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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.