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Finding the Fourth Proportional to 125,531.32, 188,303.46 and 32,037.88

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Solution

The fourth proportional to 125,531.32, 188,303.46 and 32,037.88 is: 48,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,531.32 : 188,303.46 = 32,037.88 : x
  2. Step 2: Convert to fraction form
    125,531.32/188,303.46 = 32,037.88/x
  3. Step 3: Cross multiply
    125,531.32x = 188,303.46 × 32,037.88
  4. Step 4: Simplify right side
    125,531.32x = 6,032,843,655.06
  5. Step 5: Solve for x
    x = 6,032,843,655.06/125,531.32
  6. Step 6: Final answer
    x = 48,058.47

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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.