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Finding the Fourth Proportional to 102,296.48, 153,444.73 and 31,219.49

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Solution

The fourth proportional to 102,296.48, 153,444.73 and 31,219.49 is: 46,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.48 : 153,444.73 = 31,219.49 : x
  2. Step 2: Convert to fraction form
    102,296.48/153,444.73 = 31,219.49/x
  3. Step 3: Cross multiply
    102,296.48x = 153,444.73 × 31,219.49
  4. Step 4: Simplify right side
    102,296.48x = 4,790,465,368.52
  5. Step 5: Solve for x
    x = 4,790,465,368.52/102,296.48
  6. Step 6: Final answer
    x = 46,829.23

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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.