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Finding the Fourth Proportional to 65,754.84, 98,657.09 and 39,477.90

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Solution

The fourth proportional to 65,754.84, 98,657.09 and 39,477.90 is: 59,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754.84 : 98,657.09 = 39,477.90 : x
  2. Step 2: Convert to fraction form
    65,754.84/98,657.09 = 39,477.90/x
  3. Step 3: Cross multiply
    65,754.84x = 98,657.09 × 39,477.90
  4. Step 4: Simplify right side
    65,754.84x = 3,894,774,733.31
  5. Step 5: Solve for x
    x = 3,894,774,733.31/65,754.84
  6. Step 6: Final answer
    x = 59,231.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.