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Finding the Fourth Proportional to 31,365.12, 47,034 and 9,177.99

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Solution

The fourth proportional to 31,365.12, 47,034 and 9,177.99 is: 13,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365.12 : 47,034 = 9,177.99 : x
  2. Step 2: Convert to fraction form
    31,365.12/47,034 = 9,177.99/x
  3. Step 3: Cross multiply
    31,365.12x = 47,034 × 9,177.99
  4. Step 4: Simplify right side
    31,365.12x = 431,677,581.66
  5. Step 5: Solve for x
    x = 431,677,581.66/31,365.12
  6. Step 6: Final answer
    x = 13,762.98

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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.