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Finding the Fourth Proportional to 42,870.38, 64,322.44 and 13,290.50

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Solution

The fourth proportional to 42,870.38, 64,322.44 and 13,290.50 is: 19,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,870.38 : 64,322.44 = 13,290.50 : x
  2. Step 2: Convert to fraction form
    42,870.38/64,322.44 = 13,290.50/x
  3. Step 3: Cross multiply
    42,870.38x = 64,322.44 × 13,290.50
  4. Step 4: Simplify right side
    42,870.38x = 854,877,388.82
  5. Step 5: Solve for x
    x = 854,877,388.82/42,870.38
  6. Step 6: Final answer
    x = 19,940.98

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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.