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Finding the Fourth Proportional to 100,352, 150,536.64 and 26,480

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Solution

The fourth proportional to 100,352, 150,536.64 and 26,480 is: 39,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,352 : 150,536.64 = 26,480 : x
  2. Step 2: Convert to fraction form
    100,352/150,536.64 = 26,480/x
  3. Step 3: Cross multiply
    100,352x = 150,536.64 × 26,480
  4. Step 4: Simplify right side
    100,352x = 3,986,210,227.20
  5. Step 5: Solve for x
    x = 3,986,210,227.20/100,352
  6. Step 6: Final answer
    x = 39,722.28

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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.