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Finding the Fourth Proportional to 64,787.25, 97,024.14 and 31,424.70

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Solution

The fourth proportional to 64,787.25, 97,024.14 and 31,424.70 is: 47,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,787.25 : 97,024.14 = 31,424.70 : x
  2. Step 2: Convert to fraction form
    64,787.25/97,024.14 = 31,424.70/x
  3. Step 3: Cross multiply
    64,787.25x = 97,024.14 × 31,424.70
  4. Step 4: Simplify right side
    64,787.25x = 3,048,954,492.26
  5. Step 5: Solve for x
    x = 3,048,954,492.26/64,787.25
  6. Step 6: Final answer
    x = 47,061.03

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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.