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Finding the Fourth Proportional to 64,209.60, 96,314.70 and 22,656.60

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Solution

The fourth proportional to 64,209.60, 96,314.70 and 22,656.60 is: 33,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.60 : 96,314.70 = 22,656.60 : x
  2. Step 2: Convert to fraction form
    64,209.60/96,314.70 = 22,656.60/x
  3. Step 3: Cross multiply
    64,209.60x = 96,314.70 × 22,656.60
  4. Step 4: Simplify right side
    64,209.60x = 2,182,163,632.02
  5. Step 5: Solve for x
    x = 2,182,163,632.02/64,209.60
  6. Step 6: Final answer
    x = 33,985.01

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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.