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Finding the Fourth Proportional to 42,870.44, 64,303.68 and 11,705.60

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Solution

The fourth proportional to 42,870.44, 64,303.68 and 11,705.60 is: 17,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,870.44 : 64,303.68 = 11,705.60 : x
  2. Step 2: Convert to fraction form
    42,870.44/64,303.68 = 11,705.60/x
  3. Step 3: Cross multiply
    42,870.44x = 64,303.68 × 11,705.60
  4. Step 4: Simplify right side
    42,870.44x = 752,713,156.61
  5. Step 5: Solve for x
    x = 752,713,156.61/42,870.44
  6. Step 6: Final answer
    x = 17,557.86

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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.