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Finding the Fourth Proportional to 61,022.76, 84,211 and 34,165.16

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Solution

The fourth proportional to 61,022.76, 84,211 and 34,165.16 is: 47,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022.76 : 84,211 = 34,165.16 : x
  2. Step 2: Convert to fraction form
    61,022.76/84,211 = 34,165.16/x
  3. Step 3: Cross multiply
    61,022.76x = 84,211 × 34,165.16
  4. Step 4: Simplify right side
    61,022.76x = 2,877,082,288.76
  5. Step 5: Solve for x
    x = 2,877,082,288.76/61,022.76
  6. Step 6: Final answer
    x = 47,147.69

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1.5x scale

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.