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Finding the Fourth Proportional to 70,802.73, 106,210.71 and 23,418

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Solution

The fourth proportional to 70,802.73, 106,210.71 and 23,418 is: 35,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.73 : 106,210.71 = 23,418 : x
  2. Step 2: Convert to fraction form
    70,802.73/106,210.71 = 23,418/x
  3. Step 3: Cross multiply
    70,802.73x = 106,210.71 × 23,418
  4. Step 4: Simplify right side
    70,802.73x = 2,487,242,406.78
  5. Step 5: Solve for x
    x = 2,487,242,406.78/70,802.73
  6. Step 6: Final answer
    x = 35,129.19

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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.