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Finding the Fourth Proportional to 64,687.14, 97,041.78 and 29,629.80

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Solution

The fourth proportional to 64,687.14, 97,041.78 and 29,629.80 is: 44,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,687.14 : 97,041.78 = 29,629.80 : x
  2. Step 2: Convert to fraction form
    64,687.14/97,041.78 = 29,629.80/x
  3. Step 3: Cross multiply
    64,687.14x = 97,041.78 × 29,629.80
  4. Step 4: Simplify right side
    64,687.14x = 2,875,328,533.04
  5. Step 5: Solve for x
    x = 2,875,328,533.04/64,687.14
  6. Step 6: Final answer
    x = 44,449.77

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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.