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Finding the Fourth Proportional to 37,628, 56,442.36 and 11,332.16

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Solution

The fourth proportional to 37,628, 56,442.36 and 11,332.16 is: 16,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628 : 56,442.36 = 11,332.16 : x
  2. Step 2: Convert to fraction form
    37,628/56,442.36 = 11,332.16/x
  3. Step 3: Cross multiply
    37,628x = 56,442.36 × 11,332.16
  4. Step 4: Simplify right side
    37,628x = 639,613,854.30
  5. Step 5: Solve for x
    x = 639,613,854.30/37,628
  6. Step 6: Final answer
    x = 16,998.35

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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.