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Finding the Fourth Proportional to 35,442, 48,909.36 and 19,527.96

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Solution

The fourth proportional to 35,442, 48,909.36 and 19,527.96 is: 26,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442 : 48,909.36 = 19,527.96 : x
  2. Step 2: Convert to fraction form
    35,442/48,909.36 = 19,527.96/x
  3. Step 3: Cross multiply
    35,442x = 48,909.36 × 19,527.96
  4. Step 4: Simplify right side
    35,442x = 955,100,025.71
  5. Step 5: Solve for x
    x = 955,100,025.71/35,442
  6. Step 6: Final answer
    x = 26,948.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.