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Finding the Fourth Proportional to 173,391, 260,086.50 and 48,732

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Solution

The fourth proportional to 173,391, 260,086.50 and 48,732 is: 73,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,391 : 260,086.50 = 48,732 : x
  2. Step 2: Convert to fraction form
    173,391/260,086.50 = 48,732/x
  3. Step 3: Cross multiply
    173,391x = 260,086.50 × 48,732
  4. Step 4: Simplify right side
    173,391x = 12,674,535,318
  5. Step 5: Solve for x
    x = 12,674,535,318/173,391
  6. Step 6: Final answer
    x = 73,098

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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.