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Finding the Fourth Proportional to 61,741.40, 85,203.16 and 33,447.08

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Solution

The fourth proportional to 61,741.40, 85,203.16 and 33,447.08 is: 46,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,741.40 : 85,203.16 = 33,447.08 : x
  2. Step 2: Convert to fraction form
    61,741.40/85,203.16 = 33,447.08/x
  3. Step 3: Cross multiply
    61,741.40x = 85,203.16 × 33,447.08
  4. Step 4: Simplify right side
    61,741.40x = 2,849,797,038.16
  5. Step 5: Solve for x
    x = 2,849,797,038.16/61,741.40
  6. Step 6: Final answer
    x = 46,156.99

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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.