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Finding the Fourth Proportional to 64,203.12, 96,345.86 and 34,641.50

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Solution

The fourth proportional to 64,203.12, 96,345.86 and 34,641.50 is: 51,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,203.12 : 96,345.86 = 34,641.50 : x
  2. Step 2: Convert to fraction form
    64,203.12/96,345.86 = 34,641.50/x
  3. Step 3: Cross multiply
    64,203.12x = 96,345.86 × 34,641.50
  4. Step 4: Simplify right side
    64,203.12x = 3,337,564,454.25
  5. Step 5: Solve for x
    x = 3,337,564,454.25/64,203.12
  6. Step 6: Final answer
    x = 51,984.46

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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.