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Finding the Fourth Proportional to 29,024.18, 40,070.40 and 22,296.59

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Solution

The fourth proportional to 29,024.18, 40,070.40 and 22,296.59 is: 30,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024.18 : 40,070.40 = 22,296.59 : x
  2. Step 2: Convert to fraction form
    29,024.18/40,070.40 = 22,296.59/x
  3. Step 3: Cross multiply
    29,024.18x = 40,070.40 × 22,296.59
  4. Step 4: Simplify right side
    29,024.18x = 893,433,279.94
  5. Step 5: Solve for x
    x = 893,433,279.94/29,024.18
  6. Step 6: Final answer
    x = 30,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.