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Finding the Fourth Proportional to 38,412.81, 53,013.15 and 23,309.29

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Solution

The fourth proportional to 38,412.81, 53,013.15 and 23,309.29 is: 32,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.81 : 53,013.15 = 23,309.29 : x
  2. Step 2: Convert to fraction form
    38,412.81/53,013.15 = 23,309.29/x
  3. Step 3: Cross multiply
    38,412.81x = 53,013.15 × 23,309.29
  4. Step 4: Simplify right side
    38,412.81x = 1,235,698,887.16
  5. Step 5: Solve for x
    x = 1,235,698,887.16/38,412.81
  6. Step 6: Final answer
    x = 32,168.93

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Why These Related Problems?

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