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Finding the Fourth Proportional to 30,264.65, 45,396.98 and 8,078.11

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Solution

The fourth proportional to 30,264.65, 45,396.98 and 8,078.11 is: 12,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.65 : 45,396.98 = 8,078.11 : x
  2. Step 2: Convert to fraction form
    30,264.65/45,396.98 = 8,078.11/x
  3. Step 3: Cross multiply
    30,264.65x = 45,396.98 × 8,078.11
  4. Step 4: Simplify right side
    30,264.65x = 366,721,798.11
  5. Step 5: Solve for x
    x = 366,721,798.11/30,264.65
  6. Step 6: Final answer
    x = 12,117.17

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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.