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Finding the Fourth Proportional to 98,822.68, 136,374.32 and 53,499.47

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Solution

The fourth proportional to 98,822.68, 136,374.32 and 53,499.47 is: 73,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822.68 : 136,374.32 = 53,499.47 : x
  2. Step 2: Convert to fraction form
    98,822.68/136,374.32 = 53,499.47/x
  3. Step 3: Cross multiply
    98,822.68x = 136,374.32 × 53,499.47
  4. Step 4: Simplify right side
    98,822.68x = 7,295,953,293.49
  5. Step 5: Solve for x
    x = 7,295,953,293.49/98,822.68
  6. Step 6: Final answer
    x = 73,828.74

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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.