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Finding the Fourth Proportional to 35,565.98, 53,352 and 9,270.68

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Solution

The fourth proportional to 35,565.98, 53,352 and 9,270.68 is: 13,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,565.98 : 53,352 = 9,270.68 : x
  2. Step 2: Convert to fraction form
    35,565.98/53,352 = 9,270.68/x
  3. Step 3: Cross multiply
    35,565.98x = 53,352 × 9,270.68
  4. Step 4: Simplify right side
    35,565.98x = 494,609,052.60
  5. Step 5: Solve for x
    x = 494,609,052.60/35,565.98
  6. Step 6: Final answer
    x = 13,906.80

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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.