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Finding the Fourth Proportional to 75,506.31, 113,259.83 and 22,916.25

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Solution

The fourth proportional to 75,506.31, 113,259.83 and 22,916.25 is: 34,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.31 : 113,259.83 = 22,916.25 : x
  2. Step 2: Convert to fraction form
    75,506.31/113,259.83 = 22,916.25/x
  3. Step 3: Cross multiply
    75,506.31x = 113,259.83 × 22,916.25
  4. Step 4: Simplify right side
    75,506.31x = 2,595,490,464.66
  5. Step 5: Solve for x
    x = 2,595,490,464.66/75,506.31
  6. Step 6: Final answer
    x = 34,374.48

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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.