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Finding the Fourth Proportional to 77,406.76, 106,822.55 and 43,422.80

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Solution

The fourth proportional to 77,406.76, 106,822.55 and 43,422.80 is: 59,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.76 : 106,822.55 = 43,422.80 : x
  2. Step 2: Convert to fraction form
    77,406.76/106,822.55 = 43,422.80/x
  3. Step 3: Cross multiply
    77,406.76x = 106,822.55 × 43,422.80
  4. Step 4: Simplify right side
    77,406.76x = 4,638,534,224.14
  5. Step 5: Solve for x
    x = 4,638,534,224.14/77,406.76
  6. Step 6: Final answer
    x = 59,924.15

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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.