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Finding the Fourth Proportional to 102,292.01, 153,438.02 and 31,215.02

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Solution

The fourth proportional to 102,292.01, 153,438.02 and 31,215.02 is: 46,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,292.01 : 153,438.02 = 31,215.02 : x
  2. Step 2: Convert to fraction form
    102,292.01/153,438.02 = 31,215.02/x
  3. Step 3: Cross multiply
    102,292.01x = 153,438.02 × 31,215.02
  4. Step 4: Simplify right side
    102,292.01x = 4,789,571,095.52
  5. Step 5: Solve for x
    x = 4,789,571,095.52/102,292.01
  6. Step 6: Final answer
    x = 46,822.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.