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Finding the Fourth Proportional to 55,830.80, 83,746.20 and 51,894.20

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Solution

The fourth proportional to 55,830.80, 83,746.20 and 51,894.20 is: 77,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830.80 : 83,746.20 = 51,894.20 : x
  2. Step 2: Convert to fraction form
    55,830.80/83,746.20 = 51,894.20/x
  3. Step 3: Cross multiply
    55,830.80x = 83,746.20 × 51,894.20
  4. Step 4: Simplify right side
    55,830.80x = 4,345,942,052.04
  5. Step 5: Solve for x
    x = 4,345,942,052.04/55,830.80
  6. Step 6: Final answer
    x = 77,841.30

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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.