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Finding the Fourth Proportional to 61,709.64, 85,158.72 and 36,216.24

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Solution

The fourth proportional to 61,709.64, 85,158.72 and 36,216.24 is: 49,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709.64 : 85,158.72 = 36,216.24 : x
  2. Step 2: Convert to fraction form
    61,709.64/85,158.72 = 36,216.24/x
  3. Step 3: Cross multiply
    61,709.64x = 85,158.72 × 36,216.24
  4. Step 4: Simplify right side
    61,709.64x = 3,084,128,641.61
  5. Step 5: Solve for x
    x = 3,084,128,641.61/61,709.64
  6. Step 6: Final answer
    x = 49,978.07

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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.