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Finding the Fourth Proportional to 65,084.84, 97,641.90 and 22,967.92

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Solution

The fourth proportional to 65,084.84, 97,641.90 and 22,967.92 is: 34,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.84 : 97,641.90 = 22,967.92 : x
  2. Step 2: Convert to fraction form
    65,084.84/97,641.90 = 22,967.92/x
  3. Step 3: Cross multiply
    65,084.84x = 97,641.90 × 22,967.92
  4. Step 4: Simplify right side
    65,084.84x = 2,242,630,859.64
  5. Step 5: Solve for x
    x = 2,242,630,859.64/65,084.84
  6. Step 6: Final answer
    x = 34,457.04

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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.