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Finding the Fourth Proportional to 83,200.84, 114,806.77 and 47,386.28

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Solution

The fourth proportional to 83,200.84, 114,806.77 and 47,386.28 is: 65,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.84 : 114,806.77 = 47,386.28 : x
  2. Step 2: Convert to fraction form
    83,200.84/114,806.77 = 47,386.28/x
  3. Step 3: Cross multiply
    83,200.84x = 114,806.77 × 47,386.28
  4. Step 4: Simplify right side
    83,200.84x = 5,440,265,917.67
  5. Step 5: Solve for x
    x = 5,440,265,917.67/83,200.84
  6. Step 6: Final answer
    x = 65,387.15

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1.5x scale

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.