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Finding the Fourth Proportional to 53,801.70, 80,702.55 and 47,235.30

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Solution

The fourth proportional to 53,801.70, 80,702.55 and 47,235.30 is: 70,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801.70 : 80,702.55 = 47,235.30 : x
  2. Step 2: Convert to fraction form
    53,801.70/80,702.55 = 47,235.30/x
  3. Step 3: Cross multiply
    53,801.70x = 80,702.55 × 47,235.30
  4. Step 4: Simplify right side
    53,801.70x = 3,812,009,160.02
  5. Step 5: Solve for x
    x = 3,812,009,160.02/53,801.70
  6. Step 6: Final answer
    x = 70,852.95

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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.