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Finding the Fourth Proportional to 57,284.71, 79,048.77 and 35,784.10

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Solution

The fourth proportional to 57,284.71, 79,048.77 and 35,784.10 is: 49,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284.71 : 79,048.77 = 35,784.10 : x
  2. Step 2: Convert to fraction form
    57,284.71/79,048.77 = 35,784.10/x
  3. Step 3: Cross multiply
    57,284.71x = 79,048.77 × 35,784.10
  4. Step 4: Simplify right side
    57,284.71x = 2,828,689,529.11
  5. Step 5: Solve for x
    x = 2,828,689,529.11/57,284.71
  6. Step 6: Final answer
    x = 49,379.49

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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.