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Finding the Fourth Proportional to 38,493.84, 53,092.08 and 26,577.12

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Solution

The fourth proportional to 38,493.84, 53,092.08 and 26,577.12 is: 36,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.84 : 53,092.08 = 26,577.12 : x
  2. Step 2: Convert to fraction form
    38,493.84/53,092.08 = 26,577.12/x
  3. Step 3: Cross multiply
    38,493.84x = 53,092.08 × 26,577.12
  4. Step 4: Simplify right side
    38,493.84x = 1,411,034,581.21
  5. Step 5: Solve for x
    x = 1,411,034,581.21/38,493.84
  6. Step 6: Final answer
    x = 36,656.11

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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.