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Finding the Fourth Proportional to 30,059.76, 45,097.06 and 9,283.26

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Solution

The fourth proportional to 30,059.76, 45,097.06 and 9,283.26 is: 13,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059.76 : 45,097.06 = 9,283.26 : x
  2. Step 2: Convert to fraction form
    30,059.76/45,097.06 = 9,283.26/x
  3. Step 3: Cross multiply
    30,059.76x = 45,097.06 × 9,283.26
  4. Step 4: Simplify right side
    30,059.76x = 418,647,733.22
  5. Step 5: Solve for x
    x = 418,647,733.22/30,059.76
  6. Step 6: Final answer
    x = 13,927.18

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1.5x scale

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.