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Finding the Fourth Proportional to 97,960.84, 146,984.70 and 55,839.40

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Solution

The fourth proportional to 97,960.84, 146,984.70 and 55,839.40 is: 83,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960.84 : 146,984.70 = 55,839.40 : x
  2. Step 2: Convert to fraction form
    97,960.84/146,984.70 = 55,839.40/x
  3. Step 3: Cross multiply
    97,960.84x = 146,984.70 × 55,839.40
  4. Step 4: Simplify right side
    97,960.84x = 8,207,537,457.18
  5. Step 5: Solve for x
    x = 8,207,537,457.18/97,960.84
  6. Step 6: Final answer
    x = 83,783.86

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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.