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Finding the Fourth Proportional to 42,341, 63,514.16 and 14,258.76

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Solution

The fourth proportional to 42,341, 63,514.16 and 14,258.76 is: 21,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,341 : 63,514.16 = 14,258.76 : x
  2. Step 2: Convert to fraction form
    42,341/63,514.16 = 14,258.76/x
  3. Step 3: Cross multiply
    42,341x = 63,514.16 × 14,258.76
  4. Step 4: Simplify right side
    42,341x = 905,633,164.04
  5. Step 5: Solve for x
    x = 905,633,164.04/42,341
  6. Step 6: Final answer
    x = 21,389.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.