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Finding the Fourth Proportional to 38,154.84, 52,654.32 and 21,159.81

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Solution

The fourth proportional to 38,154.84, 52,654.32 and 21,159.81 is: 29,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.84 : 52,654.32 = 21,159.81 : x
  2. Step 2: Convert to fraction form
    38,154.84/52,654.32 = 21,159.81/x
  3. Step 3: Cross multiply
    38,154.84x = 52,654.32 × 21,159.81
  4. Step 4: Simplify right side
    38,154.84x = 1,114,155,406.88
  5. Step 5: Solve for x
    x = 1,114,155,406.88/38,154.84
  6. Step 6: Final answer
    x = 29,200.89

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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.