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Finding the Fourth Proportional to 30,681.97, 46,017.74 and 8,490.15

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Solution

The fourth proportional to 30,681.97, 46,017.74 and 8,490.15 is: 12,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.97 : 46,017.74 = 8,490.15 : x
  2. Step 2: Convert to fraction form
    30,681.97/46,017.74 = 8,490.15/x
  3. Step 3: Cross multiply
    30,681.97x = 46,017.74 × 8,490.15
  4. Step 4: Simplify right side
    30,681.97x = 390,697,515.26
  5. Step 5: Solve for x
    x = 390,697,515.26/30,681.97
  6. Step 6: Final answer
    x = 12,733.78

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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.