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Finding the Fourth Proportional to 121,656.48, 182,484.72 and 38,544

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Solution

The fourth proportional to 121,656.48, 182,484.72 and 38,544 is: 57,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,656.48 : 182,484.72 = 38,544 : x
  2. Step 2: Convert to fraction form
    121,656.48/182,484.72 = 38,544/x
  3. Step 3: Cross multiply
    121,656.48x = 182,484.72 × 38,544
  4. Step 4: Simplify right side
    121,656.48x = 7,033,691,047.68
  5. Step 5: Solve for x
    x = 7,033,691,047.68/121,656.48
  6. Step 6: Final answer
    x = 57,816.00

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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.