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Finding the Fourth Proportional to 32,605.74, 48,901.32 and 15,066

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Solution

The fourth proportional to 32,605.74, 48,901.32 and 15,066 is: 22,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.74 : 48,901.32 = 15,066 : x
  2. Step 2: Convert to fraction form
    32,605.74/48,901.32 = 15,066/x
  3. Step 3: Cross multiply
    32,605.74x = 48,901.32 × 15,066
  4. Step 4: Simplify right side
    32,605.74x = 736,747,287.12
  5. Step 5: Solve for x
    x = 736,747,287.12/32,605.74
  6. Step 6: Final answer
    x = 22,595.63

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Why These Related Problems?

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