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Finding the Fourth Proportional to 131,871.68, 197,804.78 and 32,032.40

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Solution

The fourth proportional to 131,871.68, 197,804.78 and 32,032.40 is: 48,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,871.68 : 197,804.78 = 32,032.40 : x
  2. Step 2: Convert to fraction form
    131,871.68/197,804.78 = 32,032.40/x
  3. Step 3: Cross multiply
    131,871.68x = 197,804.78 × 32,032.40
  4. Step 4: Simplify right side
    131,871.68x = 6,336,160,685.69
  5. Step 5: Solve for x
    x = 6,336,160,685.69/131,871.68
  6. Step 6: Final answer
    x = 48,047.93

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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.