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Finding the Fourth Proportional to 127,711.32, 191,610.74 and 48,848.10

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Solution

The fourth proportional to 127,711.32, 191,610.74 and 48,848.10 is: 73,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711.32 : 191,610.74 = 48,848.10 : x
  2. Step 2: Convert to fraction form
    127,711.32/191,610.74 = 48,848.10/x
  3. Step 3: Cross multiply
    127,711.32x = 191,610.74 × 48,848.10
  4. Step 4: Simplify right side
    127,711.32x = 9,359,820,588.59
  5. Step 5: Solve for x
    x = 9,359,820,588.59/127,711.32
  6. Step 6: Final answer
    x = 73,288.89

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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.