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Finding the Fourth Proportional to 32,864.96, 49,332.54 and 14,154.26

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Solution

The fourth proportional to 32,864.96, 49,332.54 and 14,154.26 is: 21,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.96 : 49,332.54 = 14,154.26 : x
  2. Step 2: Convert to fraction form
    32,864.96/49,332.54 = 14,154.26/x
  3. Step 3: Cross multiply
    32,864.96x = 49,332.54 × 14,154.26
  4. Step 4: Simplify right side
    32,864.96x = 698,265,597.62
  5. Step 5: Solve for x
    x = 698,265,597.62/32,864.96
  6. Step 6: Final answer
    x = 21,246.51

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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.