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Finding the Fourth Proportional to 35,242.78, 52,862.55 and 8,948.02

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Solution

The fourth proportional to 35,242.78, 52,862.55 and 8,948.02 is: 13,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,242.78 : 52,862.55 = 8,948.02 : x
  2. Step 2: Convert to fraction form
    35,242.78/52,862.55 = 8,948.02/x
  3. Step 3: Cross multiply
    35,242.78x = 52,862.55 × 8,948.02
  4. Step 4: Simplify right side
    35,242.78x = 473,015,154.65
  5. Step 5: Solve for x
    x = 473,015,154.65/35,242.78
  6. Step 6: Final answer
    x = 13,421.62

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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.