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Finding the Fourth Proportional to 125,580.78, 188,397.50 and 36,827.06

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Solution

The fourth proportional to 125,580.78, 188,397.50 and 36,827.06 is: 55,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,580.78 : 188,397.50 = 36,827.06 : x
  2. Step 2: Convert to fraction form
    125,580.78/188,397.50 = 36,827.06/x
  3. Step 3: Cross multiply
    125,580.78x = 188,397.50 × 36,827.06
  4. Step 4: Simplify right side
    125,580.78x = 6,938,124,910.23
  5. Step 5: Solve for x
    x = 6,938,124,910.23/125,580.78
  6. Step 6: Final answer
    x = 55,248.30

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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.