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Finding the Fourth Proportional to 121,140.52, 181,728.06 and 38,041

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Solution

The fourth proportional to 121,140.52, 181,728.06 and 38,041 is: 57,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,140.52 : 181,728.06 = 38,041 : x
  2. Step 2: Convert to fraction form
    121,140.52/181,728.06 = 38,041/x
  3. Step 3: Cross multiply
    121,140.52x = 181,728.06 × 38,041
  4. Step 4: Simplify right side
    121,140.52x = 6,913,117,130.46
  5. Step 5: Solve for x
    x = 6,913,117,130.46/121,140.52
  6. Step 6: Final answer
    x = 57,066.93

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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.