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Finding the Fourth Proportional to 97,869, 135,070.74 and 58,125

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Solution

The fourth proportional to 97,869, 135,070.74 and 58,125 is: 80,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,869 : 135,070.74 = 58,125 : x
  2. Step 2: Convert to fraction form
    97,869/135,070.74 = 58,125/x
  3. Step 3: Cross multiply
    97,869x = 135,070.74 × 58,125
  4. Step 4: Simplify right side
    97,869x = 7,850,986,762.50
  5. Step 5: Solve for x
    x = 7,850,986,762.50/97,869
  6. Step 6: Final answer
    x = 80,219.34

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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.