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Finding the Fourth Proportional to 31,020.94, 46,508.73 and 9,948.99

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Solution

The fourth proportional to 31,020.94, 46,508.73 and 9,948.99 is: 14,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020.94 : 46,508.73 = 9,948.99 : x
  2. Step 2: Convert to fraction form
    31,020.94/46,508.73 = 9,948.99/x
  3. Step 3: Cross multiply
    31,020.94x = 46,508.73 × 9,948.99
  4. Step 4: Simplify right side
    31,020.94x = 462,715,026.78
  5. Step 5: Solve for x
    x = 462,715,026.78/31,020.94
  6. Step 6: Final answer
    x = 14,916.21

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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.