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Finding the Fourth Proportional to 37,133.48, 55,702.62 and 10,836

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Solution

The fourth proportional to 37,133.48, 55,702.62 and 10,836 is: 16,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.48 : 55,702.62 = 10,836 : x
  2. Step 2: Convert to fraction form
    37,133.48/55,702.62 = 10,836/x
  3. Step 3: Cross multiply
    37,133.48x = 55,702.62 × 10,836
  4. Step 4: Simplify right side
    37,133.48x = 603,593,590.32
  5. Step 5: Solve for x
    x = 603,593,590.32/37,133.48
  6. Step 6: Final answer
    x = 16,254.70

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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.