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Finding the Fourth Proportional to 34,009.40, 51,014.10 and 14,281.40

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Solution

The fourth proportional to 34,009.40, 51,014.10 and 14,281.40 is: 21,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.40 : 51,014.10 = 14,281.40 : x
  2. Step 2: Convert to fraction form
    34,009.40/51,014.10 = 14,281.40/x
  3. Step 3: Cross multiply
    34,009.40x = 51,014.10 × 14,281.40
  4. Step 4: Simplify right side
    34,009.40x = 728,552,767.74
  5. Step 5: Solve for x
    x = 728,552,767.74/34,009.40
  6. Step 6: Final answer
    x = 21,422.10

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1.5x scale

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.