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Finding the Fourth Proportional to 30,058.86, 45,093.96 and 9,277.50

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Solution

The fourth proportional to 30,058.86, 45,093.96 and 9,277.50 is: 13,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058.86 : 45,093.96 = 9,277.50 : x
  2. Step 2: Convert to fraction form
    30,058.86/45,093.96 = 9,277.50/x
  3. Step 3: Cross multiply
    30,058.86x = 45,093.96 × 9,277.50
  4. Step 4: Simplify right side
    30,058.86x = 418,359,213.90
  5. Step 5: Solve for x
    x = 418,359,213.90/30,058.86
  6. Step 6: Final answer
    x = 13,918.00

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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.