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Finding the Fourth Proportional to 30,763.71, 46,152.77 and 9,987.21

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Solution

The fourth proportional to 30,763.71, 46,152.77 and 9,987.21 is: 14,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.71 : 46,152.77 = 9,987.21 : x
  2. Step 2: Convert to fraction form
    30,763.71/46,152.77 = 9,987.21/x
  3. Step 3: Cross multiply
    30,763.71x = 46,152.77 × 9,987.21
  4. Step 4: Simplify right side
    30,763.71x = 460,937,356.14
  5. Step 5: Solve for x
    x = 460,937,356.14/30,763.71
  6. Step 6: Final answer
    x = 14,983.15

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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.