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Finding the Fourth Proportional to 77,460.84, 106,889.64 and 43,464.60

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Solution

The fourth proportional to 77,460.84, 106,889.64 and 43,464.60 is: 59,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,460.84 : 106,889.64 = 43,464.60 : x
  2. Step 2: Convert to fraction form
    77,460.84/106,889.64 = 43,464.60/x
  3. Step 3: Cross multiply
    77,460.84x = 106,889.64 × 43,464.60
  4. Step 4: Simplify right side
    77,460.84x = 4,645,915,446.74
  5. Step 5: Solve for x
    x = 4,645,915,446.74/77,460.84
  6. Step 6: Final answer
    x = 59,977.60

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1.5x scale

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.