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Finding the Fourth Proportional to 102,543.67, 153,803.21 and 27,658.06

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Solution

The fourth proportional to 102,543.67, 153,803.21 and 27,658.06 is: 41,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,543.67 : 153,803.21 = 27,658.06 : x
  2. Step 2: Convert to fraction form
    102,543.67/153,803.21 = 27,658.06/x
  3. Step 3: Cross multiply
    102,543.67x = 153,803.21 × 27,658.06
  4. Step 4: Simplify right side
    102,543.67x = 4,253,897,887.57
  5. Step 5: Solve for x
    x = 4,253,897,887.57/102,543.67
  6. Step 6: Final answer
    x = 41,483.77

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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.