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Finding the Fourth Proportional to 102,175.98, 153,263.82 and 32,060.76

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Solution

The fourth proportional to 102,175.98, 153,263.82 and 32,060.76 is: 48,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175.98 : 153,263.82 = 32,060.76 : x
  2. Step 2: Convert to fraction form
    102,175.98/153,263.82 = 32,060.76/x
  3. Step 3: Cross multiply
    102,175.98x = 153,263.82 × 32,060.76
  4. Step 4: Simplify right side
    102,175.98x = 4,913,754,549.70
  5. Step 5: Solve for x
    x = 4,913,754,549.70/102,175.98
  6. Step 6: Final answer
    x = 48,091.09

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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.