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Finding the Fourth Proportional to 42,722.34, 64,094.45 and 13,140.43

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Solution

The fourth proportional to 42,722.34, 64,094.45 and 13,140.43 is: 19,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722.34 : 64,094.45 = 13,140.43 : x
  2. Step 2: Convert to fraction form
    42,722.34/64,094.45 = 13,140.43/x
  3. Step 3: Cross multiply
    42,722.34x = 64,094.45 × 13,140.43
  4. Step 4: Simplify right side
    42,722.34x = 842,228,633.61
  5. Step 5: Solve for x
    x = 842,228,633.61/42,722.34
  6. Step 6: Final answer
    x = 19,714.01

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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.