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Finding the Fourth Proportional to 42,506.34, 63,763.08 and 12,924.43

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Solution

The fourth proportional to 42,506.34, 63,763.08 and 12,924.43 is: 19,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.34 : 63,763.08 = 12,924.43 : x
  2. Step 2: Convert to fraction form
    42,506.34/63,763.08 = 12,924.43/x
  3. Step 3: Cross multiply
    42,506.34x = 63,763.08 × 12,924.43
  4. Step 4: Simplify right side
    42,506.34x = 824,101,439.81
  5. Step 5: Solve for x
    x = 824,101,439.81/42,506.34
  6. Step 6: Final answer
    x = 19,387.73

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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.