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Finding the Fourth Proportional to 38,465.75, 53,082.34 and 22,547.13

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Solution

The fourth proportional to 38,465.75, 53,082.34 and 22,547.13 is: 31,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.75 : 53,082.34 = 22,547.13 : x
  2. Step 2: Convert to fraction form
    38,465.75/53,082.34 = 22,547.13/x
  3. Step 3: Cross multiply
    38,465.75x = 53,082.34 × 22,547.13
  4. Step 4: Simplify right side
    38,465.75x = 1,196,854,165.26
  5. Step 5: Solve for x
    x = 1,196,854,165.26/38,465.75
  6. Step 6: Final answer
    x = 31,114.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.