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Finding the Fourth Proportional to 127,570.80, 191,363.40 and 38,827.20

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Solution

The fourth proportional to 127,570.80, 191,363.40 and 38,827.20 is: 58,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570.80 : 191,363.40 = 38,827.20 : x
  2. Step 2: Convert to fraction form
    127,570.80/191,363.40 = 38,827.20/x
  3. Step 3: Cross multiply
    127,570.80x = 191,363.40 × 38,827.20
  4. Step 4: Simplify right side
    127,570.80x = 7,430,105,004.48
  5. Step 5: Solve for x
    x = 7,430,105,004.48/127,570.80
  6. Step 6: Final answer
    x = 58,242.99

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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.