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Finding the Fourth Proportional to 75,712.72, 113,482.98 and 46,065.22

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Solution

The fourth proportional to 75,712.72, 113,482.98 and 46,065.22 is: 69,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.72 : 113,482.98 = 46,065.22 : x
  2. Step 2: Convert to fraction form
    75,712.72/113,482.98 = 46,065.22/x
  3. Step 3: Cross multiply
    75,712.72x = 113,482.98 × 46,065.22
  4. Step 4: Simplify right side
    75,712.72x = 5,227,618,439.96
  5. Step 5: Solve for x
    x = 5,227,618,439.96/75,712.72
  6. Step 6: Final answer
    x = 69,045.44

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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.