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Finding the Fourth Proportional to 55,820.80, 83,828.40 and 54,071.20

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Solution

The fourth proportional to 55,820.80, 83,828.40 and 54,071.20 is: 81,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,820.80 : 83,828.40 = 54,071.20 : x
  2. Step 2: Convert to fraction form
    55,820.80/83,828.40 = 54,071.20/x
  3. Step 3: Cross multiply
    55,820.80x = 83,828.40 × 54,071.20
  4. Step 4: Simplify right side
    55,820.80x = 4,532,702,182.08
  5. Step 5: Solve for x
    x = 4,532,702,182.08/55,820.80
  6. Step 6: Final answer
    x = 81,200.95

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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.