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Finding the Fourth Proportional to 26,046, 39,070.08 and 7,578

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Solution

The fourth proportional to 26,046, 39,070.08 and 7,578 is: 11,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046 : 39,070.08 = 7,578 : x
  2. Step 2: Convert to fraction form
    26,046/39,070.08 = 7,578/x
  3. Step 3: Cross multiply
    26,046x = 39,070.08 × 7,578
  4. Step 4: Simplify right side
    26,046x = 296,073,066.24
  5. Step 5: Solve for x
    x = 296,073,066.24/26,046
  6. Step 6: Final answer
    x = 11,367.31

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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.