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Finding the Fourth Proportional to 117,854.22, 176,803.32 and 39,023.94

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Solution

The fourth proportional to 117,854.22, 176,803.32 and 39,023.94 is: 58,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,854.22 : 176,803.32 = 39,023.94 : x
  2. Step 2: Convert to fraction form
    117,854.22/176,803.32 = 39,023.94/x
  3. Step 3: Cross multiply
    117,854.22x = 176,803.32 × 39,023.94
  4. Step 4: Simplify right side
    117,854.22x = 6,899,562,151.48
  5. Step 5: Solve for x
    x = 6,899,562,151.48/117,854.22
  6. Step 6: Final answer
    x = 58,543.19

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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.