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Finding the Fourth Proportional to 35,620, 53,430.72 and 9,327.04

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Solution

The fourth proportional to 35,620, 53,430.72 and 9,327.04 is: 13,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620 : 53,430.72 = 9,327.04 : x
  2. Step 2: Convert to fraction form
    35,620/53,430.72 = 9,327.04/x
  3. Step 3: Cross multiply
    35,620x = 53,430.72 × 9,327.04
  4. Step 4: Simplify right side
    35,620x = 498,350,462.67
  5. Step 5: Solve for x
    x = 498,350,462.67/35,620
  6. Step 6: Final answer
    x = 13,990.75

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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.