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Finding the Fourth Proportional to 32,095.64, 44,292.07 and 17,948.48

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Solution

The fourth proportional to 32,095.64, 44,292.07 and 17,948.48 is: 24,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.64 : 44,292.07 = 17,948.48 : x
  2. Step 2: Convert to fraction form
    32,095.64/44,292.07 = 17,948.48/x
  3. Step 3: Cross multiply
    32,095.64x = 44,292.07 × 17,948.48
  4. Step 4: Simplify right side
    32,095.64x = 794,975,242.81
  5. Step 5: Solve for x
    x = 794,975,242.81/32,095.64
  6. Step 6: Final answer
    x = 24,768.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.