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Finding the Fourth Proportional to 46,521, 69,790.50 and 19,866.60

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Solution

The fourth proportional to 46,521, 69,790.50 and 19,866.60 is: 29,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,521 : 69,790.50 = 19,866.60 : x
  2. Step 2: Convert to fraction form
    46,521/69,790.50 = 19,866.60/x
  3. Step 3: Cross multiply
    46,521x = 69,790.50 × 19,866.60
  4. Step 4: Simplify right side
    46,521x = 1,386,499,947.30
  5. Step 5: Solve for x
    x = 1,386,499,947.30/46,521
  6. Step 6: Final answer
    x = 29,803.74

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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.