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Finding the Fourth Proportional to 64,935.20, 97,332.84 and 31,677.68

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Solution

The fourth proportional to 64,935.20, 97,332.84 and 31,677.68 is: 47,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935.20 : 97,332.84 = 31,677.68 : x
  2. Step 2: Convert to fraction form
    64,935.20/97,332.84 = 31,677.68/x
  3. Step 3: Cross multiply
    64,935.20x = 97,332.84 × 31,677.68
  4. Step 4: Simplify right side
    64,935.20x = 3,083,278,559.01
  5. Step 5: Solve for x
    x = 3,083,278,559.01/64,935.20
  6. Step 6: Final answer
    x = 47,482.39

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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.