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Finding the Fourth Proportional to 42,157.50, 63,267.42 and 19,970.88

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Solution

The fourth proportional to 42,157.50, 63,267.42 and 19,970.88 is: 29,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,157.50 : 63,267.42 = 19,970.88 : x
  2. Step 2: Convert to fraction form
    42,157.50/63,267.42 = 19,970.88/x
  3. Step 3: Cross multiply
    42,157.50x = 63,267.42 × 19,970.88
  4. Step 4: Simplify right side
    42,157.50x = 1,263,506,052.73
  5. Step 5: Solve for x
    x = 1,263,506,052.73/42,157.50
  6. Step 6: Final answer
    x = 29,971.09

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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.