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Finding the Fourth Proportional to 30,815.59, 46,230.31 and 9,756.89

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Solution

The fourth proportional to 30,815.59, 46,230.31 and 9,756.89 is: 14,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.59 : 46,230.31 = 9,756.89 : x
  2. Step 2: Convert to fraction form
    30,815.59/46,230.31 = 9,756.89/x
  3. Step 3: Cross multiply
    30,815.59x = 46,230.31 × 9,756.89
  4. Step 4: Simplify right side
    30,815.59x = 451,064,024.29
  5. Step 5: Solve for x
    x = 451,064,024.29/30,815.59
  6. Step 6: Final answer
    x = 14,637.53

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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.