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Finding the Fourth Proportional to 97,671.29, 146,506.94 and 45,052.07

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Solution

The fourth proportional to 97,671.29, 146,506.94 and 45,052.07 is: 67,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671.29 : 146,506.94 = 45,052.07 : x
  2. Step 2: Convert to fraction form
    97,671.29/146,506.94 = 45,052.07/x
  3. Step 3: Cross multiply
    97,671.29x = 146,506.94 × 45,052.07
  4. Step 4: Simplify right side
    97,671.29x = 6,600,440,916.37
  5. Step 5: Solve for x
    x = 6,600,440,916.37/97,671.29
  6. Step 6: Final answer
    x = 67,578.11

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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.