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Finding the Fourth Proportional to 125,807.25, 188,710.88 and 32,313

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Solution

The fourth proportional to 125,807.25, 188,710.88 and 32,313 is: 48,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,807.25 : 188,710.88 = 32,313 : x
  2. Step 2: Convert to fraction form
    125,807.25/188,710.88 = 32,313/x
  3. Step 3: Cross multiply
    125,807.25x = 188,710.88 × 32,313
  4. Step 4: Simplify right side
    125,807.25x = 6,097,814,503.88
  5. Step 5: Solve for x
    x = 6,097,814,503.88/125,807.25
  6. Step 6: Final answer
    x = 48,469.50

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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.