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Finding the Fourth Proportional to 64,904.94, 97,149.65 and 47,073.60

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Solution

The fourth proportional to 64,904.94, 97,149.65 and 47,073.60 is: 70,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904.94 : 97,149.65 = 47,073.60 : x
  2. Step 2: Convert to fraction form
    64,904.94/97,149.65 = 47,073.60/x
  3. Step 3: Cross multiply
    64,904.94x = 97,149.65 × 47,073.60
  4. Step 4: Simplify right side
    64,904.94x = 4,573,183,528.87
  5. Step 5: Solve for x
    x = 4,573,183,528.87/64,904.94
  6. Step 6: Final answer
    x = 70,459.71

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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.