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Finding the Fourth Proportional to 52,773.36, 72,824.88 and 31,564.32

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Solution

The fourth proportional to 52,773.36, 72,824.88 and 31,564.32 is: 43,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,773.36 : 72,824.88 = 31,564.32 : x
  2. Step 2: Convert to fraction form
    52,773.36/72,824.88 = 31,564.32/x
  3. Step 3: Cross multiply
    52,773.36x = 72,824.88 × 31,564.32
  4. Step 4: Simplify right side
    52,773.36x = 2,298,667,816.28
  5. Step 5: Solve for x
    x = 2,298,667,816.28/52,773.36
  6. Step 6: Final answer
    x = 43,557.35

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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.