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Finding the Fourth Proportional to 125,802.98, 188,704.47 and 32,308.82

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Solution

The fourth proportional to 125,802.98, 188,704.47 and 32,308.82 is: 48,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,802.98 : 188,704.47 = 32,308.82 : x
  2. Step 2: Convert to fraction form
    125,802.98/188,704.47 = 32,308.82/x
  3. Step 3: Cross multiply
    125,802.98x = 188,704.47 × 32,308.82
  4. Step 4: Simplify right side
    125,802.98x = 6,096,818,754.43
  5. Step 5: Solve for x
    x = 6,096,818,754.43/125,802.98
  6. Step 6: Final answer
    x = 48,463.23

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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.