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Finding the Fourth Proportional to 30,693.65, 42,356.53 and 18,756.95

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Solution

The fourth proportional to 30,693.65, 42,356.53 and 18,756.95 is: 25,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.65 : 42,356.53 = 18,756.95 : x
  2. Step 2: Convert to fraction form
    30,693.65/42,356.53 = 18,756.95/x
  3. Step 3: Cross multiply
    30,693.65x = 42,356.53 × 18,756.95
  4. Step 4: Simplify right side
    30,693.65x = 794,479,315.38
  5. Step 5: Solve for x
    x = 794,479,315.38/30,693.65
  6. Step 6: Final answer
    x = 25,884.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.