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Finding the Fourth Proportional to 32,417.70, 48,627.63 and 9,042.18

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Solution

The fourth proportional to 32,417.70, 48,627.63 and 9,042.18 is: 13,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.70 : 48,627.63 = 9,042.18 : x
  2. Step 2: Convert to fraction form
    32,417.70/48,627.63 = 9,042.18/x
  3. Step 3: Cross multiply
    32,417.70x = 48,627.63 × 9,042.18
  4. Step 4: Simplify right side
    32,417.70x = 439,699,783.43
  5. Step 5: Solve for x
    x = 439,699,783.43/32,417.70
  6. Step 6: Final answer
    x = 13,563.57

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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.