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Finding the Fourth Proportional to 23,820.55, 35,946.98 and 23,026.49

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Solution

The fourth proportional to 23,820.55, 35,946.98 and 23,026.49 is: 34,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.55 : 35,946.98 = 23,026.49 : x
  2. Step 2: Convert to fraction form
    23,820.55/35,946.98 = 23,026.49/x
  3. Step 3: Cross multiply
    23,820.55x = 35,946.98 × 23,026.49
  4. Step 4: Simplify right side
    23,820.55x = 827,733,033.51
  5. Step 5: Solve for x
    x = 827,733,033.51/23,820.55
  6. Step 6: Final answer
    x = 34,748.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.