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Finding the Fourth Proportional to 30,870.47, 46,308.81 and 8,381.53

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Solution

The fourth proportional to 30,870.47, 46,308.81 and 8,381.53 is: 12,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.47 : 46,308.81 = 8,381.53 : x
  2. Step 2: Convert to fraction form
    30,870.47/46,308.81 = 8,381.53/x
  3. Step 3: Cross multiply
    30,870.47x = 46,308.81 × 8,381.53
  4. Step 4: Simplify right side
    30,870.47x = 388,138,680.28
  5. Step 5: Solve for x
    x = 388,138,680.28/30,870.47
  6. Step 6: Final answer
    x = 12,573.14

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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.