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Finding the Fourth Proportional to 38,430.80, 57,646.20 and 24,009.20

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Solution

The fourth proportional to 38,430.80, 57,646.20 and 24,009.20 is: 36,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.80 : 57,646.20 = 24,009.20 : x
  2. Step 2: Convert to fraction form
    38,430.80/57,646.20 = 24,009.20/x
  3. Step 3: Cross multiply
    38,430.80x = 57,646.20 × 24,009.20
  4. Step 4: Simplify right side
    38,430.80x = 1,384,039,145.04
  5. Step 5: Solve for x
    x = 1,384,039,145.04/38,430.80
  6. Step 6: Final answer
    x = 36,013.80

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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.