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Finding the Fourth Proportional to 55,345.20, 83,017.80 and 13,792.20

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Solution

The fourth proportional to 55,345.20, 83,017.80 and 13,792.20 is: 20,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,345.20 : 83,017.80 = 13,792.20 : x
  2. Step 2: Convert to fraction form
    55,345.20/83,017.80 = 13,792.20/x
  3. Step 3: Cross multiply
    55,345.20x = 83,017.80 × 13,792.20
  4. Step 4: Simplify right side
    55,345.20x = 1,144,998,101.16
  5. Step 5: Solve for x
    x = 1,144,998,101.16/55,345.20
  6. Step 6: Final answer
    x = 20,688.30

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1.5x scale

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.