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Finding the Fourth Proportional to 52,938.50, 73,061.62 and 30,582.50

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Solution

The fourth proportional to 52,938.50, 73,061.62 and 30,582.50 is: 42,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938.50 : 73,061.62 = 30,582.50 : x
  2. Step 2: Convert to fraction form
    52,938.50/73,061.62 = 30,582.50/x
  3. Step 3: Cross multiply
    52,938.50x = 73,061.62 × 30,582.50
  4. Step 4: Simplify right side
    52,938.50x = 2,234,406,993.65
  5. Step 5: Solve for x
    x = 2,234,406,993.65/52,938.50
  6. Step 6: Final answer
    x = 42,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.