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Finding the Fourth Proportional to 117,468.63, 176,222.39 and 38,565.32

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Solution

The fourth proportional to 117,468.63, 176,222.39 and 38,565.32 is: 57,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,468.63 : 176,222.39 = 38,565.32 : x
  2. Step 2: Convert to fraction form
    117,468.63/176,222.39 = 38,565.32/x
  3. Step 3: Cross multiply
    117,468.63x = 176,222.39 × 38,565.32
  4. Step 4: Simplify right side
    117,468.63x = 6,796,071,787.58
  5. Step 5: Solve for x
    x = 6,796,071,787.58/117,468.63
  6. Step 6: Final answer
    x = 57,854.35

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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.