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Finding the Fourth Proportional to 43,076, 59,448.68 and 24,213.28

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Solution

The fourth proportional to 43,076, 59,448.68 and 24,213.28 is: 33,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076 : 59,448.68 = 24,213.28 : x
  2. Step 2: Convert to fraction form
    43,076/59,448.68 = 24,213.28/x
  3. Step 3: Cross multiply
    43,076x = 59,448.68 × 24,213.28
  4. Step 4: Simplify right side
    43,076x = 1,439,447,534.47
  5. Step 5: Solve for x
    x = 1,439,447,534.47/43,076
  6. Step 6: Final answer
    x = 33,416.46

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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.