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Finding the Fourth Proportional to 70,897.32, 106,319.50 and 23,503.72

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Solution

The fourth proportional to 70,897.32, 106,319.50 and 23,503.72 is: 35,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897.32 : 106,319.50 = 23,503.72 : x
  2. Step 2: Convert to fraction form
    70,897.32/106,319.50 = 23,503.72/x
  3. Step 3: Cross multiply
    70,897.32x = 106,319.50 × 23,503.72
  4. Step 4: Simplify right side
    70,897.32x = 2,498,903,758.54
  5. Step 5: Solve for x
    x = 2,498,903,758.54/70,897.32
  6. Step 6: Final answer
    x = 35,246.80

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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.