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Finding the Fourth Proportional to 103,174.88, 154,742.63 and 32,098.40

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Solution

The fourth proportional to 103,174.88, 154,742.63 and 32,098.40 is: 48,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,174.88 : 154,742.63 = 32,098.40 : x
  2. Step 2: Convert to fraction form
    103,174.88/154,742.63 = 32,098.40/x
  3. Step 3: Cross multiply
    103,174.88x = 154,742.63 × 32,098.40
  4. Step 4: Simplify right side
    103,174.88x = 4,966,990,061.08
  5. Step 5: Solve for x
    x = 4,966,990,061.08/103,174.88
  6. Step 6: Final answer
    x = 48,141.47

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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.