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Finding the Fourth Proportional to 38,077.57, 52,547.04 and 21,310.57

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Solution

The fourth proportional to 38,077.57, 52,547.04 and 21,310.57 is: 29,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077.57 : 52,547.04 = 21,310.57 : x
  2. Step 2: Convert to fraction form
    38,077.57/52,547.04 = 21,310.57/x
  3. Step 3: Cross multiply
    38,077.57x = 52,547.04 × 21,310.57
  4. Step 4: Simplify right side
    38,077.57x = 1,119,807,374.21
  5. Step 5: Solve for x
    x = 1,119,807,374.21/38,077.57
  6. Step 6: Final answer
    x = 29,408.58

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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.