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Finding the Fourth Proportional to 37,790.23, 56,685.35 and 11,495

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Solution

The fourth proportional to 37,790.23, 56,685.35 and 11,495 is: 17,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,790.23 : 56,685.35 = 11,495 : x
  2. Step 2: Convert to fraction form
    37,790.23/56,685.35 = 11,495/x
  3. Step 3: Cross multiply
    37,790.23x = 56,685.35 × 11,495
  4. Step 4: Simplify right side
    37,790.23x = 651,598,098.25
  5. Step 5: Solve for x
    x = 651,598,098.25/37,790.23
  6. Step 6: Final answer
    x = 17,242.50

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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.