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Finding the Fourth Proportional to 35,702.90, 53,503.05 and 20,087.54

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Solution

The fourth proportional to 35,702.90, 53,503.05 and 20,087.54 is: 30,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.90 : 53,503.05 = 20,087.54 : x
  2. Step 2: Convert to fraction form
    35,702.90/53,503.05 = 20,087.54/x
  3. Step 3: Cross multiply
    35,702.90x = 53,503.05 × 20,087.54
  4. Step 4: Simplify right side
    35,702.90x = 1,074,744,657.00
  5. Step 5: Solve for x
    x = 1,074,744,657.00/35,702.90
  6. Step 6: Final answer
    x = 30,102.45

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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.