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Finding the Fourth Proportional to 27,041.40, 40,532.40 and 9,502.20

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Solution

The fourth proportional to 27,041.40, 40,532.40 and 9,502.20 is: 14,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.40 : 40,532.40 = 9,502.20 : x
  2. Step 2: Convert to fraction form
    27,041.40/40,532.40 = 9,502.20/x
  3. Step 3: Cross multiply
    27,041.40x = 40,532.40 × 9,502.20
  4. Step 4: Simplify right side
    27,041.40x = 385,146,971.28
  5. Step 5: Solve for x
    x = 385,146,971.28/27,041.40
  6. Step 6: Final answer
    x = 14,242.86

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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.