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Finding the Fourth Proportional to 38,510.79, 53,148.47 and 23,399.97

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Solution

The fourth proportional to 38,510.79, 53,148.47 and 23,399.97 is: 32,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.79 : 53,148.47 = 23,399.97 : x
  2. Step 2: Convert to fraction form
    38,510.79/53,148.47 = 23,399.97/x
  3. Step 3: Cross multiply
    38,510.79x = 53,148.47 × 23,399.97
  4. Step 4: Simplify right side
    38,510.79x = 1,243,672,486.55
  5. Step 5: Solve for x
    x = 1,243,672,486.55/38,510.79
  6. Step 6: Final answer
    x = 32,294.13

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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.