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Finding the Fourth Proportional to 64,622.61, 96,932.70 and 31,345.38

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Solution

The fourth proportional to 64,622.61, 96,932.70 and 31,345.38 is: 47,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622.61 : 96,932.70 = 31,345.38 : x
  2. Step 2: Convert to fraction form
    64,622.61/96,932.70 = 31,345.38/x
  3. Step 3: Cross multiply
    64,622.61x = 96,932.70 × 31,345.38
  4. Step 4: Simplify right side
    64,622.61x = 3,038,392,315.93
  5. Step 5: Solve for x
    x = 3,038,392,315.93/64,622.61
  6. Step 6: Final answer
    x = 47,017.48

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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.