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Finding the Fourth Proportional to 64,967.68, 97,463.67 and 20,582.52

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Solution

The fourth proportional to 64,967.68, 97,463.67 and 20,582.52 is: 30,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.68 : 97,463.67 = 20,582.52 : x
  2. Step 2: Convert to fraction form
    64,967.68/97,463.67 = 20,582.52/x
  3. Step 3: Cross multiply
    64,967.68x = 97,463.67 × 20,582.52
  4. Step 4: Simplify right side
    64,967.68x = 2,006,047,346.82
  5. Step 5: Solve for x
    x = 2,006,047,346.82/64,967.68
  6. Step 6: Final answer
    x = 30,877.62

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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.