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Finding the Fourth Proportional to 45,714.34, 68,267.71 and 45,219.50

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Solution

The fourth proportional to 45,714.34, 68,267.71 and 45,219.50 is: 67,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714.34 : 68,267.71 = 45,219.50 : x
  2. Step 2: Convert to fraction form
    45,714.34/68,267.71 = 45,219.50/x
  3. Step 3: Cross multiply
    45,714.34x = 68,267.71 × 45,219.50
  4. Step 4: Simplify right side
    45,714.34x = 3,087,031,712.35
  5. Step 5: Solve for x
    x = 3,087,031,712.35/45,714.34
  6. Step 6: Final answer
    x = 67,528.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.