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Finding the Fourth Proportional to 42,525, 58,684.50 and 23,663.34

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Solution

The fourth proportional to 42,525, 58,684.50 and 23,663.34 is: 32,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,525 : 58,684.50 = 23,663.34 : x
  2. Step 2: Convert to fraction form
    42,525/58,684.50 = 23,663.34/x
  3. Step 3: Cross multiply
    42,525x = 58,684.50 × 23,663.34
  4. Step 4: Simplify right side
    42,525x = 1,388,671,276.23
  5. Step 5: Solve for x
    x = 1,388,671,276.23/42,525
  6. Step 6: Final answer
    x = 32,655.41

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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.