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Finding the Fourth Proportional to 97,218, 145,827 and 31,554

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Solution

The fourth proportional to 97,218, 145,827 and 31,554 is: 47,331

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 145,827 = 31,554 : x
  2. Step 2: Convert to fraction form
    97,218/145,827 = 31,554/x
  3. Step 3: Cross multiply
    97,218x = 145,827 × 31,554
  4. Step 4: Simplify right side
    97,218x = 4,601,425,158
  5. Step 5: Solve for x
    x = 4,601,425,158/97,218
  6. Step 6: Final answer
    x = 47,331

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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.