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Finding the Fourth Proportional to 52,424.64, 72,360 and 32,284.80

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Solution

The fourth proportional to 52,424.64, 72,360 and 32,284.80 is: 44,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424.64 : 72,360 = 32,284.80 : x
  2. Step 2: Convert to fraction form
    52,424.64/72,360 = 32,284.80/x
  3. Step 3: Cross multiply
    52,424.64x = 72,360 × 32,284.80
  4. Step 4: Simplify right side
    52,424.64x = 2,336,128,128
  5. Step 5: Solve for x
    x = 2,336,128,128/52,424.64
  6. Step 6: Final answer
    x = 44,561.64

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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.