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Finding the Fourth Proportional to 53,145.60, 79,564.80 and 32,409.60

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Solution

The fourth proportional to 53,145.60, 79,564.80 and 32,409.60 is: 48,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,145.60 : 79,564.80 = 32,409.60 : x
  2. Step 2: Convert to fraction form
    53,145.60/79,564.80 = 32,409.60/x
  3. Step 3: Cross multiply
    53,145.60x = 79,564.80 × 32,409.60
  4. Step 4: Simplify right side
    53,145.60x = 2,578,663,342.08
  5. Step 5: Solve for x
    x = 2,578,663,342.08/53,145.60
  6. Step 6: Final answer
    x = 48,520.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.