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Finding the Fourth Proportional to 30,811.65, 46,224.42 and 9,752.95

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Solution

The fourth proportional to 30,811.65, 46,224.42 and 9,752.95 is: 14,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.65 : 46,224.42 = 9,752.95 : x
  2. Step 2: Convert to fraction form
    30,811.65/46,224.42 = 9,752.95/x
  3. Step 3: Cross multiply
    30,811.65x = 46,224.42 × 9,752.95
  4. Step 4: Simplify right side
    30,811.65x = 450,824,341.48
  5. Step 5: Solve for x
    x = 450,824,341.48/30,811.65
  6. Step 6: Final answer
    x = 14,631.62

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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.