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Finding the Fourth Proportional to 77,333.33, 106,710.51 and 47,107.68

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Solution

The fourth proportional to 77,333.33, 106,710.51 and 47,107.68 is: 65,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.33 : 106,710.51 = 47,107.68 : x
  2. Step 2: Convert to fraction form
    77,333.33/106,710.51 = 47,107.68/x
  3. Step 3: Cross multiply
    77,333.33x = 106,710.51 × 47,107.68
  4. Step 4: Simplify right side
    77,333.33x = 5,026,884,334.21
  5. Step 5: Solve for x
    x = 5,026,884,334.21/77,333.33
  6. Step 6: Final answer
    x = 65,002.82

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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.