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Finding the Fourth Proportional to 30,078.48, 45,103.56 and 9,010.40

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Solution

The fourth proportional to 30,078.48, 45,103.56 and 9,010.40 is: 13,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.48 : 45,103.56 = 9,010.40 : x
  2. Step 2: Convert to fraction form
    30,078.48/45,103.56 = 9,010.40/x
  3. Step 3: Cross multiply
    30,078.48x = 45,103.56 × 9,010.40
  4. Step 4: Simplify right side
    30,078.48x = 406,401,117.02
  5. Step 5: Solve for x
    x = 406,401,117.02/30,078.48
  6. Step 6: Final answer
    x = 13,511.36

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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.