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Finding the Fourth Proportional to 61,697.32, 85,142.70 and 33,403

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Solution

The fourth proportional to 61,697.32, 85,142.70 and 33,403 is: 46,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697.32 : 85,142.70 = 33,403 : x
  2. Step 2: Convert to fraction form
    61,697.32/85,142.70 = 33,403/x
  3. Step 3: Cross multiply
    61,697.32x = 85,142.70 × 33,403
  4. Step 4: Simplify right side
    61,697.32x = 2,844,021,608.10
  5. Step 5: Solve for x
    x = 2,844,021,608.10/61,697.32
  6. Step 6: Final answer
    x = 46,096.36

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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.