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Finding the Fourth Proportional to 64,300.80, 96,513.45 and 31,044.20

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Solution

The fourth proportional to 64,300.80, 96,513.45 and 31,044.20 is: 46,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,300.80 : 96,513.45 = 31,044.20 : x
  2. Step 2: Convert to fraction form
    64,300.80/96,513.45 = 31,044.20/x
  3. Step 3: Cross multiply
    64,300.80x = 96,513.45 × 31,044.20
  4. Step 4: Simplify right side
    64,300.80x = 2,996,182,844.49
  5. Step 5: Solve for x
    x = 2,996,182,844.49/64,300.80
  6. Step 6: Final answer
    x = 46,596.35

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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.