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Finding the Fourth Proportional to 131,951.32, 197,925.30 and 32,111.68

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Solution

The fourth proportional to 131,951.32, 197,925.30 and 32,111.68 is: 48,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,951.32 : 197,925.30 = 32,111.68 : x
  2. Step 2: Convert to fraction form
    131,951.32/197,925.30 = 32,111.68/x
  3. Step 3: Cross multiply
    131,951.32x = 197,925.30 × 32,111.68
  4. Step 4: Simplify right side
    131,951.32x = 6,355,713,897.50
  5. Step 5: Solve for x
    x = 6,355,713,897.50/131,951.32
  6. Step 6: Final answer
    x = 48,167.11

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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.