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Finding the Fourth Proportional to 34,658.02, 47,828 and 18,742.42

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Solution

The fourth proportional to 34,658.02, 47,828 and 18,742.42 is: 25,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.02 : 47,828 = 18,742.42 : x
  2. Step 2: Convert to fraction form
    34,658.02/47,828 = 18,742.42/x
  3. Step 3: Cross multiply
    34,658.02x = 47,828 × 18,742.42
  4. Step 4: Simplify right side
    34,658.02x = 896,412,463.76
  5. Step 5: Solve for x
    x = 896,412,463.76/34,658.02
  6. Step 6: Final answer
    x = 25,864.50

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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.