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Finding the Fourth Proportional to 32,728.28, 49,110.02 and 13,007

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Solution

The fourth proportional to 32,728.28, 49,110.02 and 13,007 is: 19,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.28 : 49,110.02 = 13,007 : x
  2. Step 2: Convert to fraction form
    32,728.28/49,110.02 = 13,007/x
  3. Step 3: Cross multiply
    32,728.28x = 49,110.02 × 13,007
  4. Step 4: Simplify right side
    32,728.28x = 638,774,030.14
  5. Step 5: Solve for x
    x = 638,774,030.14/32,728.28
  6. Step 6: Final answer
    x = 19,517.49

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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.