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Finding the Fourth Proportional to 30,222.48, 45,341.01 and 10,498.17

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Solution

The fourth proportional to 30,222.48, 45,341.01 and 10,498.17 is: 15,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.48 : 45,341.01 = 10,498.17 : x
  2. Step 2: Convert to fraction form
    30,222.48/45,341.01 = 10,498.17/x
  3. Step 3: Cross multiply
    30,222.48x = 45,341.01 × 10,498.17
  4. Step 4: Simplify right side
    30,222.48x = 475,997,630.95
  5. Step 5: Solve for x
    x = 475,997,630.95/30,222.48
  6. Step 6: Final answer
    x = 15,749.79

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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.