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Finding the Fourth Proportional to 46,488.66, 69,724.92 and 13,200.94

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Solution

The fourth proportional to 46,488.66, 69,724.92 and 13,200.94 is: 19,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488.66 : 69,724.92 = 13,200.94 : x
  2. Step 2: Convert to fraction form
    46,488.66/69,724.92 = 13,200.94/x
  3. Step 3: Cross multiply
    46,488.66x = 69,724.92 × 13,200.94
  4. Step 4: Simplify right side
    46,488.66x = 920,434,485.42
  5. Step 5: Solve for x
    x = 920,434,485.42/46,488.66
  6. Step 6: Final answer
    x = 19,799.12

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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.