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Finding the Fourth Proportional to 98,343, 135,714.06 and 53,631

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Solution

The fourth proportional to 98,343, 135,714.06 and 53,631 is: 74,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343 : 135,714.06 = 53,631 : x
  2. Step 2: Convert to fraction form
    98,343/135,714.06 = 53,631/x
  3. Step 3: Cross multiply
    98,343x = 135,714.06 × 53,631
  4. Step 4: Simplify right side
    98,343x = 7,278,480,751.86
  5. Step 5: Solve for x
    x = 7,278,480,751.86/98,343
  6. Step 6: Final answer
    x = 74,011.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.