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Finding the Fourth Proportional to 30,030.50, 45,046.38 and 9,254

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Solution

The fourth proportional to 30,030.50, 45,046.38 and 9,254 is: 13,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.50 : 45,046.38 = 9,254 : x
  2. Step 2: Convert to fraction form
    30,030.50/45,046.38 = 9,254/x
  3. Step 3: Cross multiply
    30,030.50x = 45,046.38 × 9,254
  4. Step 4: Simplify right side
    30,030.50x = 416,859,200.52
  5. Step 5: Solve for x
    x = 416,859,200.52/30,030.50
  6. Step 6: Final answer
    x = 13,881.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.