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Finding the Fourth Proportional to 52,081.94, 71,897.94 and 32,970.98

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Solution

The fourth proportional to 52,081.94, 71,897.94 and 32,970.98 is: 45,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081.94 : 71,897.94 = 32,970.98 : x
  2. Step 2: Convert to fraction form
    52,081.94/71,897.94 = 32,970.98/x
  3. Step 3: Cross multiply
    52,081.94x = 71,897.94 × 32,970.98
  4. Step 4: Simplify right side
    52,081.94x = 2,370,545,541.78
  5. Step 5: Solve for x
    x = 2,370,545,541.78/52,081.94
  6. Step 6: Final answer
    x = 45,515.69

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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.