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Finding the Fourth Proportional to 102,415.38, 153,648.99 and 28,543.38

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Solution

The fourth proportional to 102,415.38, 153,648.99 and 28,543.38 is: 42,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.38 : 153,648.99 = 28,543.38 : x
  2. Step 2: Convert to fraction form
    102,415.38/153,648.99 = 28,543.38/x
  3. Step 3: Cross multiply
    102,415.38x = 153,648.99 × 28,543.38
  4. Step 4: Simplify right side
    102,415.38x = 4,385,660,597.22
  5. Step 5: Solve for x
    x = 4,385,660,597.22/102,415.38
  6. Step 6: Final answer
    x = 42,822.29

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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.