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Finding the Fourth Proportional to 83,411.66, 115,116.36 and 47,607.08

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Solution

The fourth proportional to 83,411.66, 115,116.36 and 47,607.08 is: 65,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,411.66 : 115,116.36 = 47,607.08 : x
  2. Step 2: Convert to fraction form
    83,411.66/115,116.36 = 47,607.08/x
  3. Step 3: Cross multiply
    83,411.66x = 115,116.36 × 47,607.08
  4. Step 4: Simplify right side
    83,411.66x = 5,480,353,759.83
  5. Step 5: Solve for x
    x = 5,480,353,759.83/83,411.66
  6. Step 6: Final answer
    x = 65,702.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.