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Finding the Fourth Proportional to 37,670, 56,506.08 and 9,968

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Solution

The fourth proportional to 37,670, 56,506.08 and 9,968 is: 14,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 56,506.08 = 9,968 : x
  2. Step 2: Convert to fraction form
    37,670/56,506.08 = 9,968/x
  3. Step 3: Cross multiply
    37,670x = 56,506.08 × 9,968
  4. Step 4: Simplify right side
    37,670x = 563,252,605.44
  5. Step 5: Solve for x
    x = 563,252,605.44/37,670
  6. Step 6: Final answer
    x = 14,952.29

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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.