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Finding the Fourth Proportional to 46,605.12, 64,329.12 and 31,709.76

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Solution

The fourth proportional to 46,605.12, 64,329.12 and 31,709.76 is: 43,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,605.12 : 64,329.12 = 31,709.76 : x
  2. Step 2: Convert to fraction form
    46,605.12/64,329.12 = 31,709.76/x
  3. Step 3: Cross multiply
    46,605.12x = 64,329.12 × 31,709.76
  4. Step 4: Simplify right side
    46,605.12x = 2,039,860,956.21
  5. Step 5: Solve for x
    x = 2,039,860,956.21/46,605.12
  6. Step 6: Final answer
    x = 43,769.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.