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Finding the Fourth Proportional to 65,093.65, 89,829.59 and 37,885.86

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Solution

The fourth proportional to 65,093.65, 89,829.59 and 37,885.86 is: 52,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.65 : 89,829.59 = 37,885.86 : x
  2. Step 2: Convert to fraction form
    65,093.65/89,829.59 = 37,885.86/x
  3. Step 3: Cross multiply
    65,093.65x = 89,829.59 × 37,885.86
  4. Step 4: Simplify right side
    65,093.65x = 3,403,271,081.17
  5. Step 5: Solve for x
    x = 3,403,271,081.17/65,093.65
  6. Step 6: Final answer
    x = 52,282.69

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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.