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Finding the Fourth Proportional to 31,779.78, 47,669.96 and 9,593.34

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Solution

The fourth proportional to 31,779.78, 47,669.96 and 9,593.34 is: 14,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.78 : 47,669.96 = 9,593.34 : x
  2. Step 2: Convert to fraction form
    31,779.78/47,669.96 = 9,593.34/x
  3. Step 3: Cross multiply
    31,779.78x = 47,669.96 × 9,593.34
  4. Step 4: Simplify right side
    31,779.78x = 457,314,134.07
  5. Step 5: Solve for x
    x = 457,314,134.07/31,779.78
  6. Step 6: Final answer
    x = 14,390.10

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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.