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Finding the Fourth Proportional to 38,065.68, 57,108.24 and 15,888.96

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Solution

The fourth proportional to 38,065.68, 57,108.24 and 15,888.96 is: 23,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.68 : 57,108.24 = 15,888.96 : x
  2. Step 2: Convert to fraction form
    38,065.68/57,108.24 = 15,888.96/x
  3. Step 3: Cross multiply
    38,065.68x = 57,108.24 × 15,888.96
  4. Step 4: Simplify right side
    38,065.68x = 907,390,541.03
  5. Step 5: Solve for x
    x = 907,390,541.03/38,065.68
  6. Step 6: Final answer
    x = 23,837.50

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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.