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Finding the Fourth Proportional to 32,833.98, 49,259.07 and 9,460.22

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Solution

The fourth proportional to 32,833.98, 49,259.07 and 9,460.22 is: 14,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.98 : 49,259.07 = 9,460.22 : x
  2. Step 2: Convert to fraction form
    32,833.98/49,259.07 = 9,460.22/x
  3. Step 3: Cross multiply
    32,833.98x = 49,259.07 × 9,460.22
  4. Step 4: Simplify right side
    32,833.98x = 466,001,392.90
  5. Step 5: Solve for x
    x = 466,001,392.90/32,833.98
  6. Step 6: Final answer
    x = 14,192.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.