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Finding the Fourth Proportional to 38,314.50, 52,876.44 and 21,547.50

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Solution

The fourth proportional to 38,314.50, 52,876.44 and 21,547.50 is: 29,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.50 : 52,876.44 = 21,547.50 : x
  2. Step 2: Convert to fraction form
    38,314.50/52,876.44 = 21,547.50/x
  3. Step 3: Cross multiply
    38,314.50x = 52,876.44 × 21,547.50
  4. Step 4: Simplify right side
    38,314.50x = 1,139,355,090.90
  5. Step 5: Solve for x
    x = 1,139,355,090.90/38,314.50
  6. Step 6: Final answer
    x = 29,736.92

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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.