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Finding the Fourth Proportional to 58,090.84, 86,998.02 and 33,415

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Solution

The fourth proportional to 58,090.84, 86,998.02 and 33,415 is: 50,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,090.84 : 86,998.02 = 33,415 : x
  2. Step 2: Convert to fraction form
    58,090.84/86,998.02 = 33,415/x
  3. Step 3: Cross multiply
    58,090.84x = 86,998.02 × 33,415
  4. Step 4: Simplify right side
    58,090.84x = 2,907,038,838.30
  5. Step 5: Solve for x
    x = 2,907,038,838.30/58,090.84
  6. Step 6: Final answer
    x = 50,042.98

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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.