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Finding the Fourth Proportional to 125,552.32, 188,325.92 and 32,056

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Solution

The fourth proportional to 125,552.32, 188,325.92 and 32,056 is: 48,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,552.32 : 188,325.92 = 32,056 : x
  2. Step 2: Convert to fraction form
    125,552.32/188,325.92 = 32,056/x
  3. Step 3: Cross multiply
    125,552.32x = 188,325.92 × 32,056
  4. Step 4: Simplify right side
    125,552.32x = 6,036,975,691.52
  5. Step 5: Solve for x
    x = 6,036,975,691.52/125,552.32
  6. Step 6: Final answer
    x = 48,083.35

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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.