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Finding the Fourth Proportional to 35,453.40, 48,916.86 and 22,863

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Solution

The fourth proportional to 35,453.40, 48,916.86 and 22,863 is: 31,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,453.40 : 48,916.86 = 22,863 : x
  2. Step 2: Convert to fraction form
    35,453.40/48,916.86 = 22,863/x
  3. Step 3: Cross multiply
    35,453.40x = 48,916.86 × 22,863
  4. Step 4: Simplify right side
    35,453.40x = 1,118,386,170.18
  5. Step 5: Solve for x
    x = 1,118,386,170.18/35,453.40
  6. Step 6: Final answer
    x = 31,545.24

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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.