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Finding the Fourth Proportional to 125,101.62, 187,653.06 and 31,607.46

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Solution

The fourth proportional to 125,101.62, 187,653.06 and 31,607.46 is: 47,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,101.62 : 187,653.06 = 31,607.46 : x
  2. Step 2: Convert to fraction form
    125,101.62/187,653.06 = 31,607.46/x
  3. Step 3: Cross multiply
    125,101.62x = 187,653.06 × 31,607.46
  4. Step 4: Simplify right side
    125,101.62x = 5,931,236,587.83
  5. Step 5: Solve for x
    x = 5,931,236,587.83/125,101.62
  6. Step 6: Final answer
    x = 47,411.35

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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.