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Finding the Fourth Proportional to 34,653.59, 51,980.22 and 13,578.74

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Solution

The fourth proportional to 34,653.59, 51,980.22 and 13,578.74 is: 20,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653.59 : 51,980.22 = 13,578.74 : x
  2. Step 2: Convert to fraction form
    34,653.59/51,980.22 = 13,578.74/x
  3. Step 3: Cross multiply
    34,653.59x = 51,980.22 × 13,578.74
  4. Step 4: Simplify right side
    34,653.59x = 705,825,892.52
  5. Step 5: Solve for x
    x = 705,825,892.52/34,653.59
  6. Step 6: Final answer
    x = 20,368.05

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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.