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Finding the Fourth Proportional to 30,815.70, 46,230.48 and 9,757.01

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Solution

The fourth proportional to 30,815.70, 46,230.48 and 9,757.01 is: 14,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.70 : 46,230.48 = 9,757.01 : x
  2. Step 2: Convert to fraction form
    30,815.70/46,230.48 = 9,757.01/x
  3. Step 3: Cross multiply
    30,815.70x = 46,230.48 × 9,757.01
  4. Step 4: Simplify right side
    30,815.70x = 451,071,024.51
  5. Step 5: Solve for x
    x = 451,071,024.51/30,815.70
  6. Step 6: Final answer
    x = 14,637.70

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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.