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Finding the Fourth Proportional to 64,900.44, 97,142.90 and 47,069.10

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Solution

The fourth proportional to 64,900.44, 97,142.90 and 47,069.10 is: 70,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,900.44 : 97,142.90 = 47,069.10 : x
  2. Step 2: Convert to fraction form
    64,900.44/97,142.90 = 47,069.10/x
  3. Step 3: Cross multiply
    64,900.44x = 97,142.90 × 47,069.10
  4. Step 4: Simplify right side
    64,900.44x = 4,572,428,639.04
  5. Step 5: Solve for x
    x = 4,572,428,639.04/64,900.44
  6. Step 6: Final answer
    x = 70,452.97

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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.