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Finding the Fourth Proportional to 42,846, 59,124.24 and 23,725.68

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Solution

The fourth proportional to 42,846, 59,124.24 and 23,725.68 is: 32,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,846 : 59,124.24 = 23,725.68 : x
  2. Step 2: Convert to fraction form
    42,846/59,124.24 = 23,725.68/x
  3. Step 3: Cross multiply
    42,846x = 59,124.24 × 23,725.68
  4. Step 4: Simplify right side
    42,846x = 1,402,762,798.48
  5. Step 5: Solve for x
    x = 1,402,762,798.48/42,846
  6. Step 6: Final answer
    x = 32,739.64

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