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Finding the Fourth Proportional to 35,862.40, 53,793.60 and 9,571.20

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Solution

The fourth proportional to 35,862.40, 53,793.60 and 9,571.20 is: 14,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.40 : 53,793.60 = 9,571.20 : x
  2. Step 2: Convert to fraction form
    35,862.40/53,793.60 = 9,571.20/x
  3. Step 3: Cross multiply
    35,862.40x = 53,793.60 × 9,571.20
  4. Step 4: Simplify right side
    35,862.40x = 514,869,304.32
  5. Step 5: Solve for x
    x = 514,869,304.32/35,862.40
  6. Step 6: Final answer
    x = 14,356.80

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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.