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Finding the Fourth Proportional to 70,830.50, 106,253.54 and 23,428.32

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Solution

The fourth proportional to 70,830.50, 106,253.54 and 23,428.32 is: 35,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.50 : 106,253.54 = 23,428.32 : x
  2. Step 2: Convert to fraction form
    70,830.50/106,253.54 = 23,428.32/x
  3. Step 3: Cross multiply
    70,830.50x = 106,253.54 × 23,428.32
  4. Step 4: Simplify right side
    70,830.50x = 2,489,341,819.11
  5. Step 5: Solve for x
    x = 2,489,341,819.11/70,830.50
  6. Step 6: Final answer
    x = 35,145.06

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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.