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Finding the Fourth Proportional to 57,509.04, 79,364.16 and 32,358

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Solution

The fourth proportional to 57,509.04, 79,364.16 and 32,358 is: 44,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.04 : 79,364.16 = 32,358 : x
  2. Step 2: Convert to fraction form
    57,509.04/79,364.16 = 32,358/x
  3. Step 3: Cross multiply
    57,509.04x = 79,364.16 × 32,358
  4. Step 4: Simplify right side
    57,509.04x = 2,568,065,489.28
  5. Step 5: Solve for x
    x = 2,568,065,489.28/57,509.04
  6. Step 6: Final answer
    x = 44,654.99

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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.