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Finding the Fourth Proportional to 101,811.92, 152,562.01 and 42,615.36

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Solution

The fourth proportional to 101,811.92, 152,562.01 and 42,615.36 is: 63,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.92 : 152,562.01 = 42,615.36 : x
  2. Step 2: Convert to fraction form
    101,811.92/152,562.01 = 42,615.36/x
  3. Step 3: Cross multiply
    101,811.92x = 152,562.01 × 42,615.36
  4. Step 4: Simplify right side
    101,811.92x = 6,501,484,978.47
  5. Step 5: Solve for x
    x = 6,501,484,978.47/101,811.92
  6. Step 6: Final answer
    x = 63,857.80

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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.