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Finding the Fourth Proportional to 100,848.86, 151,238.01 and 29,752.61

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Solution

The fourth proportional to 100,848.86, 151,238.01 and 29,752.61 is: 44,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,848.86 : 151,238.01 = 29,752.61 : x
  2. Step 2: Convert to fraction form
    100,848.86/151,238.01 = 29,752.61/x
  3. Step 3: Cross multiply
    100,848.86x = 151,238.01 × 29,752.61
  4. Step 4: Simplify right side
    100,848.86x = 4,499,725,528.71
  5. Step 5: Solve for x
    x = 4,499,725,528.71/100,848.86
  6. Step 6: Final answer
    x = 44,618.51

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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.