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Finding the Fourth Proportional to 65,046.96, 97,411.16 and 53,733.08

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Solution

The fourth proportional to 65,046.96, 97,411.16 and 53,733.08 is: 80,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046.96 : 97,411.16 = 53,733.08 : x
  2. Step 2: Convert to fraction form
    65,046.96/97,411.16 = 53,733.08/x
  3. Step 3: Cross multiply
    65,046.96x = 97,411.16 × 53,733.08
  4. Step 4: Simplify right side
    65,046.96x = 5,234,201,653.17
  5. Step 5: Solve for x
    x = 5,234,201,653.17/65,046.96
  6. Step 6: Final answer
    x = 80,468.04

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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.