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Finding the Fourth Proportional to 30,772.08, 46,128.94 and 9,981

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Solution

The fourth proportional to 30,772.08, 46,128.94 and 9,981 is: 14,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.08 : 46,128.94 = 9,981 : x
  2. Step 2: Convert to fraction form
    30,772.08/46,128.94 = 9,981/x
  3. Step 3: Cross multiply
    30,772.08x = 46,128.94 × 9,981
  4. Step 4: Simplify right side
    30,772.08x = 460,412,950.14
  5. Step 5: Solve for x
    x = 460,412,950.14/30,772.08
  6. Step 6: Final answer
    x = 14,962.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.