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Finding the Fourth Proportional to 25,344.40, 35,534 and 25,344.40

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Solution

The fourth proportional to 25,344.40, 35,534 and 25,344.40 is: 35,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.40 : 35,534 = 25,344.40 : x
  2. Step 2: Convert to fraction form
    25,344.40/35,534 = 25,344.40/x
  3. Step 3: Cross multiply
    25,344.40x = 35,534 × 25,344.40
  4. Step 4: Simplify right side
    25,344.40x = 900,587,909.60
  5. Step 5: Solve for x
    x = 900,587,909.60/25,344.40
  6. Step 6: Final answer
    x = 35,534

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.