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Finding the Fourth Proportional to 65,342.16, 98,014.68 and 18,596.52

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Solution

The fourth proportional to 65,342.16, 98,014.68 and 18,596.52 is: 27,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.16 : 98,014.68 = 18,596.52 : x
  2. Step 2: Convert to fraction form
    65,342.16/98,014.68 = 18,596.52/x
  3. Step 3: Cross multiply
    65,342.16x = 98,014.68 × 18,596.52
  4. Step 4: Simplify right side
    65,342.16x = 1,822,731,956.91
  5. Step 5: Solve for x
    x = 1,822,731,956.91/65,342.16
  6. Step 6: Final answer
    x = 27,895.19

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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.