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Finding the Fourth Proportional to 37,702.98, 56,563.65 and 11,406.24

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Solution

The fourth proportional to 37,702.98, 56,563.65 and 11,406.24 is: 17,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702.98 : 56,563.65 = 11,406.24 : x
  2. Step 2: Convert to fraction form
    37,702.98/56,563.65 = 11,406.24/x
  3. Step 3: Cross multiply
    37,702.98x = 56,563.65 × 11,406.24
  4. Step 4: Simplify right side
    37,702.98x = 645,178,567.18
  5. Step 5: Solve for x
    x = 645,178,567.18/37,702.98
  6. Step 6: Final answer
    x = 17,112.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.