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Finding the Fourth Proportional to 56,072, 84,108 and 22,810.16

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Solution

The fourth proportional to 56,072, 84,108 and 22,810.16 is: 34,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,072 : 84,108 = 22,810.16 : x
  2. Step 2: Convert to fraction form
    56,072/84,108 = 22,810.16/x
  3. Step 3: Cross multiply
    56,072x = 84,108 × 22,810.16
  4. Step 4: Simplify right side
    56,072x = 1,918,516,937.28
  5. Step 5: Solve for x
    x = 1,918,516,937.28/56,072
  6. Step 6: Final answer
    x = 34,215.24

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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.