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Finding the Fourth Proportional to 64,812.30, 97,218.45 and 43,817.10

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Solution

The fourth proportional to 64,812.30, 97,218.45 and 43,817.10 is: 65,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812.30 : 97,218.45 = 43,817.10 : x
  2. Step 2: Convert to fraction form
    64,812.30/97,218.45 = 43,817.10/x
  3. Step 3: Cross multiply
    64,812.30x = 97,218.45 × 43,817.10
  4. Step 4: Simplify right side
    64,812.30x = 4,259,830,545.50
  5. Step 5: Solve for x
    x = 4,259,830,545.50/64,812.30
  6. Step 6: Final answer
    x = 65,725.65

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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.