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Finding the Fourth Proportional to 42,739.50, 64,101.81 and 11,567.46

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Solution

The fourth proportional to 42,739.50, 64,101.81 and 11,567.46 is: 17,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,739.50 : 64,101.81 = 11,567.46 : x
  2. Step 2: Convert to fraction form
    42,739.50/64,101.81 = 11,567.46/x
  3. Step 3: Cross multiply
    42,739.50x = 64,101.81 × 11,567.46
  4. Step 4: Simplify right side
    42,739.50x = 741,495,123.10
  5. Step 5: Solve for x
    x = 741,495,123.10/42,739.50
  6. Step 6: Final answer
    x = 17,349.18

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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.