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Finding the Fourth Proportional to 53,534.07, 73,843.53 and 34,438.74

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Solution

The fourth proportional to 53,534.07, 73,843.53 and 34,438.74 is: 47,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,534.07 : 73,843.53 = 34,438.74 : x
  2. Step 2: Convert to fraction form
    53,534.07/73,843.53 = 34,438.74/x
  3. Step 3: Cross multiply
    53,534.07x = 73,843.53 × 34,438.74
  4. Step 4: Simplify right side
    53,534.07x = 2,543,078,130.35
  5. Step 5: Solve for x
    x = 2,543,078,130.35/53,534.07
  6. Step 6: Final answer
    x = 47,503.92

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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.