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Finding the Fourth Proportional to 30,800.34, 46,191.93 and 13,024.86

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Solution

The fourth proportional to 30,800.34, 46,191.93 and 13,024.86 is: 19,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.34 : 46,191.93 = 13,024.86 : x
  2. Step 2: Convert to fraction form
    30,800.34/46,191.93 = 13,024.86/x
  3. Step 3: Cross multiply
    30,800.34x = 46,191.93 × 13,024.86
  4. Step 4: Simplify right side
    30,800.34x = 601,643,421.38
  5. Step 5: Solve for x
    x = 601,643,421.38/30,800.34
  6. Step 6: Final answer
    x = 19,533.66

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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.