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Finding the Fourth Proportional to 55,931.61, 77,200.79 and 32,981.48

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Solution

The fourth proportional to 55,931.61, 77,200.79 and 32,981.48 is: 45,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931.61 : 77,200.79 = 32,981.48 : x
  2. Step 2: Convert to fraction form
    55,931.61/77,200.79 = 32,981.48/x
  3. Step 3: Cross multiply
    55,931.61x = 77,200.79 × 32,981.48
  4. Step 4: Simplify right side
    55,931.61x = 2,546,195,760.46
  5. Step 5: Solve for x
    x = 2,546,195,760.46/55,931.61
  6. Step 6: Final answer
    x = 45,523.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.