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Finding the Fourth Proportional to 102,625.30, 153,875.06 and 36,073.07

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Solution

The fourth proportional to 102,625.30, 153,875.06 and 36,073.07 is: 54,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,625.30 : 153,875.06 = 36,073.07 : x
  2. Step 2: Convert to fraction form
    102,625.30/153,875.06 = 36,073.07/x
  3. Step 3: Cross multiply
    102,625.30x = 153,875.06 × 36,073.07
  4. Step 4: Simplify right side
    102,625.30x = 5,550,745,810.63
  5. Step 5: Solve for x
    x = 5,550,745,810.63/102,625.30
  6. Step 6: Final answer
    x = 54,087.50

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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.