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Finding the Fourth Proportional to 102,291.52, 153,437.68 and 35,731.38

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Solution

The fourth proportional to 102,291.52, 153,437.68 and 35,731.38 is: 53,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,291.52 : 153,437.68 = 35,731.38 : x
  2. Step 2: Convert to fraction form
    102,291.52/153,437.68 = 35,731.38/x
  3. Step 3: Cross multiply
    102,291.52x = 153,437.68 × 35,731.38
  4. Step 4: Simplify right side
    102,291.52x = 5,482,540,050.40
  5. Step 5: Solve for x
    x = 5,482,540,050.40/102,291.52
  6. Step 6: Final answer
    x = 53,597.21

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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.