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Finding the Fourth Proportional to 75,814.48, 113,746.88 and 23,224.48

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Solution

The fourth proportional to 75,814.48, 113,746.88 and 23,224.48 is: 34,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814.48 : 113,746.88 = 23,224.48 : x
  2. Step 2: Convert to fraction form
    75,814.48/113,746.88 = 23,224.48/x
  3. Step 3: Cross multiply
    75,814.48x = 113,746.88 × 23,224.48
  4. Step 4: Simplify right side
    75,814.48x = 2,641,712,139.62
  5. Step 5: Solve for x
    x = 2,641,712,139.62/75,814.48
  6. Step 6: Final answer
    x = 34,844.43

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1.5x scale

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.