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Finding the Fourth Proportional to 30,973.84, 46,345.94 and 18,500.65

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Solution

The fourth proportional to 30,973.84, 46,345.94 and 18,500.65 is: 27,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.84 : 46,345.94 = 18,500.65 : x
  2. Step 2: Convert to fraction form
    30,973.84/46,345.94 = 18,500.65/x
  3. Step 3: Cross multiply
    30,973.84x = 46,345.94 × 18,500.65
  4. Step 4: Simplify right side
    30,973.84x = 857,430,061.11
  5. Step 5: Solve for x
    x = 857,430,061.11/30,973.84
  6. Step 6: Final answer
    x = 27,682.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.