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Finding the Fourth Proportional to 61,709.38, 85,159.35 and 33,415.07

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Solution

The fourth proportional to 61,709.38, 85,159.35 and 33,415.07 is: 46,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709.38 : 85,159.35 = 33,415.07 : x
  2. Step 2: Convert to fraction form
    61,709.38/85,159.35 = 33,415.07/x
  3. Step 3: Cross multiply
    61,709.38x = 85,159.35 × 33,415.07
  4. Step 4: Simplify right side
    61,709.38x = 2,845,605,215.61
  5. Step 5: Solve for x
    x = 2,845,605,215.61/61,709.38
  6. Step 6: Final answer
    x = 46,113.01

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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.