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Finding the Fourth Proportional to 102,006.60, 153,012.60 and 31,887.60

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Solution

The fourth proportional to 102,006.60, 153,012.60 and 31,887.60 is: 47,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.60 : 153,012.60 = 31,887.60 : x
  2. Step 2: Convert to fraction form
    102,006.60/153,012.60 = 31,887.60/x
  3. Step 3: Cross multiply
    102,006.60x = 153,012.60 × 31,887.60
  4. Step 4: Simplify right side
    102,006.60x = 4,879,204,583.76
  5. Step 5: Solve for x
    x = 4,879,204,583.76/102,006.60
  6. Step 6: Final answer
    x = 47,832.24

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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.