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Finding the Fourth Proportional to 98,124, 135,411.12 and 53,412

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Solution

The fourth proportional to 98,124, 135,411.12 and 53,412 is: 73,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,124 : 135,411.12 = 53,412 : x
  2. Step 2: Convert to fraction form
    98,124/135,411.12 = 53,412/x
  3. Step 3: Cross multiply
    98,124x = 135,411.12 × 53,412
  4. Step 4: Simplify right side
    98,124x = 7,232,578,741.44
  5. Step 5: Solve for x
    x = 7,232,578,741.44/98,124
  6. Step 6: Final answer
    x = 73,708.56

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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.