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Finding the Fourth Proportional to 28,094.72, 42,148.35 and 10,564.70

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Solution

The fourth proportional to 28,094.72, 42,148.35 and 10,564.70 is: 15,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,094.72 : 42,148.35 = 10,564.70 : x
  2. Step 2: Convert to fraction form
    28,094.72/42,148.35 = 10,564.70/x
  3. Step 3: Cross multiply
    28,094.72x = 42,148.35 × 10,564.70
  4. Step 4: Simplify right side
    28,094.72x = 445,284,462.50
  5. Step 5: Solve for x
    x = 445,284,462.50/28,094.72
  6. Step 6: Final answer
    x = 15,849.40

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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.