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Finding the Fourth Proportional to 61,705.85, 92,547.03 and 30,084.17

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Solution

The fourth proportional to 61,705.85, 92,547.03 and 30,084.17 is: 45,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,705.85 : 92,547.03 = 30,084.17 : x
  2. Step 2: Convert to fraction form
    61,705.85/92,547.03 = 30,084.17/x
  3. Step 3: Cross multiply
    61,705.85x = 92,547.03 × 30,084.17
  4. Step 4: Simplify right side
    61,705.85x = 2,784,200,583.52
  5. Step 5: Solve for x
    x = 2,784,200,583.52/61,705.85
  6. Step 6: Final answer
    x = 45,120.53

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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.