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Finding the Fourth Proportional to 77,366, 116,050.62 and 24,775.34

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Solution

The fourth proportional to 77,366, 116,050.62 and 24,775.34 is: 37,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,366 : 116,050.62 = 24,775.34 : x
  2. Step 2: Convert to fraction form
    77,366/116,050.62 = 24,775.34/x
  3. Step 3: Cross multiply
    77,366x = 116,050.62 × 24,775.34
  4. Step 4: Simplify right side
    77,366x = 2,875,193,567.71
  5. Step 5: Solve for x
    x = 2,875,193,567.71/77,366
  6. Step 6: Final answer
    x = 37,163.53

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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.