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Finding the Fourth Proportional to 61,617, 85,031.10 and 33,322.60

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Solution

The fourth proportional to 61,617, 85,031.10 and 33,322.60 is: 45,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617 : 85,031.10 = 33,322.60 : x
  2. Step 2: Convert to fraction form
    61,617/85,031.10 = 33,322.60/x
  3. Step 3: Cross multiply
    61,617x = 85,031.10 × 33,322.60
  4. Step 4: Simplify right side
    61,617x = 2,833,457,332.86
  5. Step 5: Solve for x
    x = 2,833,457,332.86/61,617
  6. Step 6: Final answer
    x = 45,984.99

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