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Finding the Fourth Proportional to 30,679.86, 46,024.66 and 9,898.50

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Solution

The fourth proportional to 30,679.86, 46,024.66 and 9,898.50 is: 14,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.86 : 46,024.66 = 9,898.50 : x
  2. Step 2: Convert to fraction form
    30,679.86/46,024.66 = 9,898.50/x
  3. Step 3: Cross multiply
    30,679.86x = 46,024.66 × 9,898.50
  4. Step 4: Simplify right side
    30,679.86x = 455,575,097.01
  5. Step 5: Solve for x
    x = 455,575,097.01/30,679.86
  6. Step 6: Final answer
    x = 14,849.32

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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.