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Finding the Fourth Proportional to 98,417, 135,814.72 and 55,975.48

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Solution

The fourth proportional to 98,417, 135,814.72 and 55,975.48 is: 77,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,417 : 135,814.72 = 55,975.48 : x
  2. Step 2: Convert to fraction form
    98,417/135,814.72 = 55,975.48/x
  3. Step 3: Cross multiply
    98,417x = 135,814.72 × 55,975.48
  4. Step 4: Simplify right side
    98,417x = 7,602,294,143.07
  5. Step 5: Solve for x
    x = 7,602,294,143.07/98,417
  6. Step 6: Final answer
    x = 77,245.74

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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.