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Finding the Fourth Proportional to 97,333.84, 145,999.84 and 30,773.97

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Solution

The fourth proportional to 97,333.84, 145,999.84 and 30,773.97 is: 46,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,333.84 : 145,999.84 = 30,773.97 : x
  2. Step 2: Convert to fraction form
    97,333.84/145,999.84 = 30,773.97/x
  3. Step 3: Cross multiply
    97,333.84x = 145,999.84 × 30,773.97
  4. Step 4: Simplify right side
    97,333.84x = 4,492,994,696.16
  5. Step 5: Solve for x
    x = 4,492,994,696.16/97,333.84
  6. Step 6: Final answer
    x = 46,160.66

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Why These Related Problems?

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