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Finding the Fourth Proportional to 55,827.60, 77,040.48 and 31,953.48

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Solution

The fourth proportional to 55,827.60, 77,040.48 and 31,953.48 is: 44,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,827.60 : 77,040.48 = 31,953.48 : x
  2. Step 2: Convert to fraction form
    55,827.60/77,040.48 = 31,953.48/x
  3. Step 3: Cross multiply
    55,827.60x = 77,040.48 × 31,953.48
  4. Step 4: Simplify right side
    55,827.60x = 2,461,711,436.87
  5. Step 5: Solve for x
    x = 2,461,711,436.87/55,827.60
  6. Step 6: Final answer
    x = 44,094.88

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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.