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Finding the Fourth Proportional to 51,808.69, 77,713.05 and 14,378.20

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Solution

The fourth proportional to 51,808.69, 77,713.05 and 14,378.20 is: 21,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.69 : 77,713.05 = 14,378.20 : x
  2. Step 2: Convert to fraction form
    51,808.69/77,713.05 = 14,378.20/x
  3. Step 3: Cross multiply
    51,808.69x = 77,713.05 × 14,378.20
  4. Step 4: Simplify right side
    51,808.69x = 1,117,373,775.51
  5. Step 5: Solve for x
    x = 1,117,373,775.51/51,808.69
  6. Step 6: Final answer
    x = 21,567.30

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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.