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Finding the Fourth Proportional to 28,078.10, 42,097.64 and 10,543.22

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Solution

The fourth proportional to 28,078.10, 42,097.64 and 10,543.22 is: 15,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078.10 : 42,097.64 = 10,543.22 : x
  2. Step 2: Convert to fraction form
    28,078.10/42,097.64 = 10,543.22/x
  3. Step 3: Cross multiply
    28,078.10x = 42,097.64 × 10,543.22
  4. Step 4: Simplify right side
    28,078.10x = 443,844,680.00
  5. Step 5: Solve for x
    x = 443,844,680.00/28,078.10
  6. Step 6: Final answer
    x = 15,807.50

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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.