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Finding the Fourth Proportional to 32,945.76, 49,423.50 and 9,569.16

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Solution

The fourth proportional to 32,945.76, 49,423.50 and 9,569.16 is: 14,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.76 : 49,423.50 = 9,569.16 : x
  2. Step 2: Convert to fraction form
    32,945.76/49,423.50 = 9,569.16/x
  3. Step 3: Cross multiply
    32,945.76x = 49,423.50 × 9,569.16
  4. Step 4: Simplify right side
    32,945.76x = 472,941,379.26
  5. Step 5: Solve for x
    x = 472,941,379.26/32,945.76
  6. Step 6: Final answer
    x = 14,355.15

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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.