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Finding the Fourth Proportional to 38,248.14, 57,363.54 and 14,547.20

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Solution

The fourth proportional to 38,248.14, 57,363.54 and 14,547.20 is: 21,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248.14 : 57,363.54 = 14,547.20 : x
  2. Step 2: Convert to fraction form
    38,248.14/57,363.54 = 14,547.20/x
  3. Step 3: Cross multiply
    38,248.14x = 57,363.54 × 14,547.20
  4. Step 4: Simplify right side
    38,248.14x = 834,478,889.09
  5. Step 5: Solve for x
    x = 834,478,889.09/38,248.14
  6. Step 6: Final answer
    x = 21,817.50

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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.