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Finding the Fourth Proportional to 55,825.60, 77,042.77 and 31,951.76

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Solution

The fourth proportional to 55,825.60, 77,042.77 and 31,951.76 is: 44,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.60 : 77,042.77 = 31,951.76 : x
  2. Step 2: Convert to fraction form
    55,825.60/77,042.77 = 31,951.76/x
  3. Step 3: Cross multiply
    55,825.60x = 77,042.77 × 31,951.76
  4. Step 4: Simplify right side
    55,825.60x = 2,461,651,688.05
  5. Step 5: Solve for x
    x = 2,461,651,688.05/55,825.60
  6. Step 6: Final answer
    x = 44,095.40

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1.5x scale

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.