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Finding the Fourth Proportional to 127,710.72, 191,574.72 and 48,833.28

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Solution

The fourth proportional to 127,710.72, 191,574.72 and 48,833.28 is: 73,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710.72 : 191,574.72 = 48,833.28 : x
  2. Step 2: Convert to fraction form
    127,710.72/191,574.72 = 48,833.28/x
  3. Step 3: Cross multiply
    127,710.72x = 191,574.72 × 48,833.28
  4. Step 4: Simplify right side
    127,710.72x = 9,355,221,942.68
  5. Step 5: Solve for x
    x = 9,355,221,942.68/127,710.72
  6. Step 6: Final answer
    x = 73,253.22

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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.