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Finding the Fourth Proportional to 61,810.70, 92,719.10 and 32,286.20

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Solution

The fourth proportional to 61,810.70, 92,719.10 and 32,286.20 is: 48,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,810.70 : 92,719.10 = 32,286.20 : x
  2. Step 2: Convert to fraction form
    61,810.70/92,719.10 = 32,286.20/x
  3. Step 3: Cross multiply
    61,810.70x = 92,719.10 × 32,286.20
  4. Step 4: Simplify right side
    61,810.70x = 2,993,547,406.42
  5. Step 5: Solve for x
    x = 2,993,547,406.42/61,810.70
  6. Step 6: Final answer
    x = 48,430.89

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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.