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Finding the Fourth Proportional to 37,783.50, 56,677.59 and 11,490.18

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Solution

The fourth proportional to 37,783.50, 56,677.59 and 11,490.18 is: 17,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.50 : 56,677.59 = 11,490.18 : x
  2. Step 2: Convert to fraction form
    37,783.50/56,677.59 = 11,490.18/x
  3. Step 3: Cross multiply
    37,783.50x = 56,677.59 × 11,490.18
  4. Step 4: Simplify right side
    37,783.50x = 651,235,711.07
  5. Step 5: Solve for x
    x = 651,235,711.07/37,783.50
  6. Step 6: Final answer
    x = 17,235.98

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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.