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Finding the Fourth Proportional to 102,437.92, 153,726.08 and 35,878.56

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Solution

The fourth proportional to 102,437.92, 153,726.08 and 35,878.56 is: 53,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,437.92 : 153,726.08 = 35,878.56 : x
  2. Step 2: Convert to fraction form
    102,437.92/153,726.08 = 35,878.56/x
  3. Step 3: Cross multiply
    102,437.92x = 153,726.08 × 35,878.56
  4. Step 4: Simplify right side
    102,437.92x = 5,515,470,384.84
  5. Step 5: Solve for x
    x = 5,515,470,384.84/102,437.92
  6. Step 6: Final answer
    x = 53,842.08

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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.