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Finding the Fourth Proportional to 38,748, 53,476.56 and 21,986.40

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Solution

The fourth proportional to 38,748, 53,476.56 and 21,986.40 is: 30,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 53,476.56 = 21,986.40 : x
  2. Step 2: Convert to fraction form
    38,748/53,476.56 = 21,986.40/x
  3. Step 3: Cross multiply
    38,748x = 53,476.56 × 21,986.40
  4. Step 4: Simplify right side
    38,748x = 1,175,757,038.78
  5. Step 5: Solve for x
    x = 1,175,757,038.78/38,748
  6. Step 6: Final answer
    x = 30,343.68

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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.