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Finding the Fourth Proportional to 47,224.86, 70,855.29 and 17,655.90

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Solution

The fourth proportional to 47,224.86, 70,855.29 and 17,655.90 is: 26,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224.86 : 70,855.29 = 17,655.90 : x
  2. Step 2: Convert to fraction form
    47,224.86/70,855.29 = 17,655.90/x
  3. Step 3: Cross multiply
    47,224.86x = 70,855.29 × 17,655.90
  4. Step 4: Simplify right side
    47,224.86x = 1,251,013,914.71
  5. Step 5: Solve for x
    x = 1,251,013,914.71/47,224.86
  6. Step 6: Final answer
    x = 26,490.58

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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.