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Finding the Fourth Proportional to 42,564.10, 63,809.16 and 21,486.58

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Solution

The fourth proportional to 42,564.10, 63,809.16 and 21,486.58 is: 32,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.10 : 63,809.16 = 21,486.58 : x
  2. Step 2: Convert to fraction form
    42,564.10/63,809.16 = 21,486.58/x
  3. Step 3: Cross multiply
    42,564.10x = 63,809.16 × 21,486.58
  4. Step 4: Simplify right side
    42,564.10x = 1,371,040,621.07
  5. Step 5: Solve for x
    x = 1,371,040,621.07/42,564.10
  6. Step 6: Final answer
    x = 32,211.20

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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.