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Finding the Fourth Proportional to 77,159.56, 106,460.70 and 45,322.24

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Solution

The fourth proportional to 77,159.56, 106,460.70 and 45,322.24 is: 62,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,159.56 : 106,460.70 = 45,322.24 : x
  2. Step 2: Convert to fraction form
    77,159.56/106,460.70 = 45,322.24/x
  3. Step 3: Cross multiply
    77,159.56x = 106,460.70 × 45,322.24
  4. Step 4: Simplify right side
    77,159.56x = 4,825,037,395.97
  5. Step 5: Solve for x
    x = 4,825,037,395.97/77,159.56
  6. Step 6: Final answer
    x = 62,533.24

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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.