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Finding the Fourth Proportional to 31,779.34, 47,650.47 and 9,586.06

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Solution

The fourth proportional to 31,779.34, 47,650.47 and 9,586.06 is: 14,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.34 : 47,650.47 = 9,586.06 : x
  2. Step 2: Convert to fraction form
    31,779.34/47,650.47 = 9,586.06/x
  3. Step 3: Cross multiply
    31,779.34x = 47,650.47 × 9,586.06
  4. Step 4: Simplify right side
    31,779.34x = 456,780,264.45
  5. Step 5: Solve for x
    x = 456,780,264.45/31,779.34
  6. Step 6: Final answer
    x = 14,373.50

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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.