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Finding the Fourth Proportional to 32,363, 48,541.26 and 23,615

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Solution

The fourth proportional to 32,363, 48,541.26 and 23,615 is: 35,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,363 : 48,541.26 = 23,615 : x
  2. Step 2: Convert to fraction form
    32,363/48,541.26 = 23,615/x
  3. Step 3: Cross multiply
    32,363x = 48,541.26 × 23,615
  4. Step 4: Simplify right side
    32,363x = 1,146,301,854.90
  5. Step 5: Solve for x
    x = 1,146,301,854.90/32,363
  6. Step 6: Final answer
    x = 35,420.14

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Why These Related Problems?

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