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Finding the Fourth Proportional to 117,600.96, 176,407.20 and 34,488

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Solution

The fourth proportional to 117,600.96, 176,407.20 and 34,488 is: 51,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600.96 : 176,407.20 = 34,488 : x
  2. Step 2: Convert to fraction form
    117,600.96/176,407.20 = 34,488/x
  3. Step 3: Cross multiply
    117,600.96x = 176,407.20 × 34,488
  4. Step 4: Simplify right side
    117,600.96x = 6,083,931,513.60
  5. Step 5: Solve for x
    x = 6,083,931,513.60/117,600.96
  6. Step 6: Final answer
    x = 51,733.69

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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.