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Finding the Fourth Proportional to 59,512.49, 82,127.23 and 34,019.40

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Solution

The fourth proportional to 59,512.49, 82,127.23 and 34,019.40 is: 46,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512.49 : 82,127.23 = 34,019.40 : x
  2. Step 2: Convert to fraction form
    59,512.49/82,127.23 = 34,019.40/x
  3. Step 3: Cross multiply
    59,512.49x = 82,127.23 × 34,019.40
  4. Step 4: Simplify right side
    59,512.49x = 2,793,918,918.17
  5. Step 5: Solve for x
    x = 2,793,918,918.17/59,512.49
  6. Step 6: Final answer
    x = 46,946.77

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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.