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Finding the Fourth Proportional to 30,760.47, 46,138.55 and 9,699.03

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Solution

The fourth proportional to 30,760.47, 46,138.55 and 9,699.03 is: 14,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.47 : 46,138.55 = 9,699.03 : x
  2. Step 2: Convert to fraction form
    30,760.47/46,138.55 = 9,699.03/x
  3. Step 3: Cross multiply
    30,760.47x = 46,138.55 × 9,699.03
  4. Step 4: Simplify right side
    30,760.47x = 447,499,132.11
  5. Step 5: Solve for x
    x = 447,499,132.11/30,760.47
  6. Step 6: Final answer
    x = 14,547.86

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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.