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Finding the Fourth Proportional to 125,827, 188,740.50 and 32,332.75

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Solution

The fourth proportional to 125,827, 188,740.50 and 32,332.75 is: 48,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,827 : 188,740.50 = 32,332.75 : x
  2. Step 2: Convert to fraction form
    125,827/188,740.50 = 32,332.75/x
  3. Step 3: Cross multiply
    125,827x = 188,740.50 × 32,332.75
  4. Step 4: Simplify right side
    125,827x = 6,102,499,401.38
  5. Step 5: Solve for x
    x = 6,102,499,401.38/125,827
  6. Step 6: Final answer
    x = 48,499.13

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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.