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Finding the Fourth Proportional to 48,714.72, 73,028.16 and 17,528

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Solution

The fourth proportional to 48,714.72, 73,028.16 and 17,528 is: 26,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714.72 : 73,028.16 = 17,528 : x
  2. Step 2: Convert to fraction form
    48,714.72/73,028.16 = 17,528/x
  3. Step 3: Cross multiply
    48,714.72x = 73,028.16 × 17,528
  4. Step 4: Simplify right side
    48,714.72x = 1,280,037,588.48
  5. Step 5: Solve for x
    x = 1,280,037,588.48/48,714.72
  6. Step 6: Final answer
    x = 26,276.20

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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.