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Finding the Fourth Proportional to 86,204.22, 129,262.50 and 39,417

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Solution

The fourth proportional to 86,204.22, 129,262.50 and 39,417 is: 59,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204.22 : 129,262.50 = 39,417 : x
  2. Step 2: Convert to fraction form
    86,204.22/129,262.50 = 39,417/x
  3. Step 3: Cross multiply
    86,204.22x = 129,262.50 × 39,417
  4. Step 4: Simplify right side
    86,204.22x = 5,095,139,962.50
  5. Step 5: Solve for x
    x = 5,095,139,962.50/86,204.22
  6. Step 6: Final answer
    x = 59,105.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.