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Finding the Fourth Proportional to 83,322.40, 114,984.48 and 45,597.28

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Solution

The fourth proportional to 83,322.40, 114,984.48 and 45,597.28 is: 62,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.40 : 114,984.48 = 45,597.28 : x
  2. Step 2: Convert to fraction form
    83,322.40/114,984.48 = 45,597.28/x
  3. Step 3: Cross multiply
    83,322.40x = 114,984.48 × 45,597.28
  4. Step 4: Simplify right side
    83,322.40x = 5,242,979,530.21
  5. Step 5: Solve for x
    x = 5,242,979,530.21/83,322.40
  6. Step 6: Final answer
    x = 62,924.01

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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.