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Finding the Fourth Proportional to 59,374.64, 89,053.24 and 22,430

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Solution

The fourth proportional to 59,374.64, 89,053.24 and 22,430 is: 33,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,374.64 : 89,053.24 = 22,430 : x
  2. Step 2: Convert to fraction form
    59,374.64/89,053.24 = 22,430/x
  3. Step 3: Cross multiply
    59,374.64x = 89,053.24 × 22,430
  4. Step 4: Simplify right side
    59,374.64x = 1,997,464,173.20
  5. Step 5: Solve for x
    x = 1,997,464,173.20/59,374.64
  6. Step 6: Final answer
    x = 33,641.71

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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.