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Finding the Fourth Proportional to 42,782.32, 64,155.04 and 14,705.20

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Solution

The fourth proportional to 42,782.32, 64,155.04 and 14,705.20 is: 22,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.32 : 64,155.04 = 14,705.20 : x
  2. Step 2: Convert to fraction form
    42,782.32/64,155.04 = 14,705.20/x
  3. Step 3: Cross multiply
    42,782.32x = 64,155.04 × 14,705.20
  4. Step 4: Simplify right side
    42,782.32x = 943,412,694.21
  5. Step 5: Solve for x
    x = 943,412,694.21/42,782.32
  6. Step 6: Final answer
    x = 22,051.46

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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.