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Finding the Fourth Proportional to 53,142.74, 79,659.44 and 23,574.50

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Solution

The fourth proportional to 53,142.74, 79,659.44 and 23,574.50 is: 35,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,142.74 : 79,659.44 = 23,574.50 : x
  2. Step 2: Convert to fraction form
    53,142.74/79,659.44 = 23,574.50/x
  3. Step 3: Cross multiply
    53,142.74x = 79,659.44 × 23,574.50
  4. Step 4: Simplify right side
    53,142.74x = 1,877,931,468.28
  5. Step 5: Solve for x
    x = 1,877,931,468.28/53,142.74
  6. Step 6: Final answer
    x = 35,337.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.