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Finding the Fourth Proportional to 77,154.93, 106,466.81 and 48,860.01

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Solution

The fourth proportional to 77,154.93, 106,466.81 and 48,860.01 is: 67,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.93 : 106,466.81 = 48,860.01 : x
  2. Step 2: Convert to fraction form
    77,154.93/106,466.81 = 48,860.01/x
  3. Step 3: Cross multiply
    77,154.93x = 106,466.81 × 48,860.01
  4. Step 4: Simplify right side
    77,154.93x = 5,201,969,156.97
  5. Step 5: Solve for x
    x = 5,201,969,156.97/77,154.93
  6. Step 6: Final answer
    x = 67,422.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.