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Finding the Fourth Proportional to 30,259.50, 41,758.11 and 17,011.50

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Solution

The fourth proportional to 30,259.50, 41,758.11 and 17,011.50 is: 23,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 41,758.11 = 17,011.50 : x
  2. Step 2: Convert to fraction form
    30,259.50/41,758.11 = 17,011.50/x
  3. Step 3: Cross multiply
    30,259.50x = 41,758.11 × 17,011.50
  4. Step 4: Simplify right side
    30,259.50x = 710,368,088.27
  5. Step 5: Solve for x
    x = 710,368,088.27/30,259.50
  6. Step 6: Final answer
    x = 23,475.87

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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.