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Finding the Fourth Proportional to 30,693.90, 46,035.42 and 8,501.76

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Solution

The fourth proportional to 30,693.90, 46,035.42 and 8,501.76 is: 12,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.90 : 46,035.42 = 8,501.76 : x
  2. Step 2: Convert to fraction form
    30,693.90/46,035.42 = 8,501.76/x
  3. Step 3: Cross multiply
    30,693.90x = 46,035.42 × 8,501.76
  4. Step 4: Simplify right side
    30,693.90x = 391,382,092.34
  5. Step 5: Solve for x
    x = 391,382,092.34/30,693.90
  6. Step 6: Final answer
    x = 12,751.14

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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.