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Finding the Fourth Proportional to 38,508.25, 53,139.48 and 21,509.11

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Solution

The fourth proportional to 38,508.25, 53,139.48 and 21,509.11 is: 29,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.25 : 53,139.48 = 21,509.11 : x
  2. Step 2: Convert to fraction form
    38,508.25/53,139.48 = 21,509.11/x
  3. Step 3: Cross multiply
    38,508.25x = 53,139.48 × 21,509.11
  4. Step 4: Simplify right side
    38,508.25x = 1,142,982,547.42
  5. Step 5: Solve for x
    x = 1,142,982,547.42/38,508.25
  6. Step 6: Final answer
    x = 29,681.50

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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.