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Finding the Fourth Proportional to 30,874.65, 46,315.89 and 9,807.17

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Solution

The fourth proportional to 30,874.65, 46,315.89 and 9,807.17 is: 14,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.65 : 46,315.89 = 9,807.17 : x
  2. Step 2: Convert to fraction form
    30,874.65/46,315.89 = 9,807.17/x
  3. Step 3: Cross multiply
    30,874.65x = 46,315.89 × 9,807.17
  4. Step 4: Simplify right side
    30,874.65x = 454,227,831.45
  5. Step 5: Solve for x
    x = 454,227,831.45/30,874.65
  6. Step 6: Final answer
    x = 14,712.00

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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.