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Finding the Fourth Proportional to 83,900.19, 115,784.88 and 47,603.16

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Solution

The fourth proportional to 83,900.19, 115,784.88 and 47,603.16 is: 65,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.19 : 115,784.88 = 47,603.16 : x
  2. Step 2: Convert to fraction form
    83,900.19/115,784.88 = 47,603.16/x
  3. Step 3: Cross multiply
    83,900.19x = 115,784.88 × 47,603.16
  4. Step 4: Simplify right side
    83,900.19x = 5,511,726,168.22
  5. Step 5: Solve for x
    x = 5,511,726,168.22/83,900.19
  6. Step 6: Final answer
    x = 65,693.85

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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.