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Finding the Fourth Proportional to 55,582, 83,347.80 and 23,977.15

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Solution

The fourth proportional to 55,582, 83,347.80 and 23,977.15 is: 35,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,582 : 83,347.80 = 23,977.15 : x
  2. Step 2: Convert to fraction form
    55,582/83,347.80 = 23,977.15/x
  3. Step 3: Cross multiply
    55,582x = 83,347.80 × 23,977.15
  4. Step 4: Simplify right side
    55,582x = 1,998,442,702.77
  5. Step 5: Solve for x
    x = 1,998,442,702.77/55,582
  6. Step 6: Final answer
    x = 35,954.85

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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.