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Finding the Fourth Proportional to 106,047, 159,070.50 and 32,175

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Solution

The fourth proportional to 106,047, 159,070.50 and 32,175 is: 48,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047 : 159,070.50 = 32,175 : x
  2. Step 2: Convert to fraction form
    106,047/159,070.50 = 32,175/x
  3. Step 3: Cross multiply
    106,047x = 159,070.50 × 32,175
  4. Step 4: Simplify right side
    106,047x = 5,118,093,337.50
  5. Step 5: Solve for x
    x = 5,118,093,337.50/106,047
  6. Step 6: Final answer
    x = 48,262.50

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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.