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Finding the Fourth Proportional to 59,792, 82,512.96 and 34,656.08

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Solution

The fourth proportional to 59,792, 82,512.96 and 34,656.08 is: 47,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,792 : 82,512.96 = 34,656.08 : x
  2. Step 2: Convert to fraction form
    59,792/82,512.96 = 34,656.08/x
  3. Step 3: Cross multiply
    59,792x = 82,512.96 × 34,656.08
  4. Step 4: Simplify right side
    59,792x = 2,859,575,742.80
  5. Step 5: Solve for x
    x = 2,859,575,742.80/59,792
  6. Step 6: Final answer
    x = 47,825.39

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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.