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Finding the Fourth Proportional to 29,968.66, 44,952.62 and 7,780.06

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Solution

The fourth proportional to 29,968.66, 44,952.62 and 7,780.06 is: 11,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.66 : 44,952.62 = 7,780.06 : x
  2. Step 2: Convert to fraction form
    29,968.66/44,952.62 = 7,780.06/x
  3. Step 3: Cross multiply
    29,968.66x = 44,952.62 × 7,780.06
  4. Step 4: Simplify right side
    29,968.66x = 349,734,080.76
  5. Step 5: Solve for x
    x = 349,734,080.76/29,968.66
  6. Step 6: Final answer
    x = 11,669.99

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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.