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Finding the Fourth Proportional to 36,437.76, 54,622.08 and 15,648

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Solution

The fourth proportional to 36,437.76, 54,622.08 and 15,648 is: 23,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,437.76 : 54,622.08 = 15,648 : x
  2. Step 2: Convert to fraction form
    36,437.76/54,622.08 = 15,648/x
  3. Step 3: Cross multiply
    36,437.76x = 54,622.08 × 15,648
  4. Step 4: Simplify right side
    36,437.76x = 854,726,307.84
  5. Step 5: Solve for x
    x = 854,726,307.84/36,437.76
  6. Step 6: Final answer
    x = 23,457.16

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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.