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Finding the Fourth Proportional to 46,451.29, 64,102.80 and 25,231

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Solution

The fourth proportional to 46,451.29, 64,102.80 and 25,231 is: 34,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451.29 : 64,102.80 = 25,231 : x
  2. Step 2: Convert to fraction form
    46,451.29/64,102.80 = 25,231/x
  3. Step 3: Cross multiply
    46,451.29x = 64,102.80 × 25,231
  4. Step 4: Simplify right side
    46,451.29x = 1,617,377,746.80
  5. Step 5: Solve for x
    x = 1,617,377,746.80/46,451.29
  6. Step 6: Final answer
    x = 34,818.79

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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.