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Finding the Fourth Proportional to 78,576.79, 108,438.27 and 42,769.12

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Solution

The fourth proportional to 78,576.79, 108,438.27 and 42,769.12 is: 59,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.79 : 108,438.27 = 42,769.12 : x
  2. Step 2: Convert to fraction form
    78,576.79/108,438.27 = 42,769.12/x
  3. Step 3: Cross multiply
    78,576.79x = 108,438.27 × 42,769.12
  4. Step 4: Simplify right side
    78,576.79x = 4,637,808,626.19
  5. Step 5: Solve for x
    x = 4,637,808,626.19/78,576.79
  6. Step 6: Final answer
    x = 59,022.63

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1.5x scale

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.