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Finding the Fourth Proportional to 30,841.84, 46,263 and 10,065.40

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Solution

The fourth proportional to 30,841.84, 46,263 and 10,065.40 is: 15,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.84 : 46,263 = 10,065.40 : x
  2. Step 2: Convert to fraction form
    30,841.84/46,263 = 10,065.40/x
  3. Step 3: Cross multiply
    30,841.84x = 46,263 × 10,065.40
  4. Step 4: Simplify right side
    30,841.84x = 465,655,600.20
  5. Step 5: Solve for x
    x = 465,655,600.20/30,841.84
  6. Step 6: Final answer
    x = 15,098.18

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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.