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Finding the Fourth Proportional to 64,827.64, 89,462.20 and 35,019.64

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Solution

The fourth proportional to 64,827.64, 89,462.20 and 35,019.64 is: 48,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827.64 : 89,462.20 = 35,019.64 : x
  2. Step 2: Convert to fraction form
    64,827.64/89,462.20 = 35,019.64/x
  3. Step 3: Cross multiply
    64,827.64x = 89,462.20 × 35,019.64
  4. Step 4: Simplify right side
    64,827.64x = 3,132,934,037.61
  5. Step 5: Solve for x
    x = 3,132,934,037.61/64,827.64
  6. Step 6: Final answer
    x = 48,327.13

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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.