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Finding the Fourth Proportional to 101,803.36, 152,714.76 and 31,663.84

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Solution

The fourth proportional to 101,803.36, 152,714.76 and 31,663.84 is: 47,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803.36 : 152,714.76 = 31,663.84 : x
  2. Step 2: Convert to fraction form
    101,803.36/152,714.76 = 31,663.84/x
  3. Step 3: Cross multiply
    101,803.36x = 152,714.76 × 31,663.84
  4. Step 4: Simplify right side
    101,803.36x = 4,835,535,726.28
  5. Step 5: Solve for x
    x = 4,835,535,726.28/101,803.36
  6. Step 6: Final answer
    x = 47,498.78

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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.