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Finding the Fourth Proportional to 127,645.60, 191,541.30 and 48,816.40

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Solution

The fourth proportional to 127,645.60, 191,541.30 and 48,816.40 is: 73,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,645.60 : 191,541.30 = 48,816.40 : x
  2. Step 2: Convert to fraction form
    127,645.60/191,541.30 = 48,816.40/x
  3. Step 3: Cross multiply
    127,645.60x = 191,541.30 × 48,816.40
  4. Step 4: Simplify right side
    127,645.60x = 9,350,356,717.32
  5. Step 5: Solve for x
    x = 9,350,356,717.32/127,645.60
  6. Step 6: Final answer
    x = 73,252.48

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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.