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Finding the Fourth Proportional to 34,451.92, 47,509.09 and 32,578.39

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Solution

The fourth proportional to 34,451.92, 47,509.09 and 32,578.39 is: 44,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,451.92 : 47,509.09 = 32,578.39 : x
  2. Step 2: Convert to fraction form
    34,451.92/47,509.09 = 32,578.39/x
  3. Step 3: Cross multiply
    34,451.92x = 47,509.09 × 32,578.39
  4. Step 4: Simplify right side
    34,451.92x = 1,547,769,662.57
  5. Step 5: Solve for x
    x = 1,547,769,662.57/34,451.92
  6. Step 6: Final answer
    x = 44,925.50

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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.