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Finding the Fourth Proportional to 102,003.98, 153,005.74 and 27,124.13

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Solution

The fourth proportional to 102,003.98, 153,005.74 and 27,124.13 is: 40,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.98 : 153,005.74 = 27,124.13 : x
  2. Step 2: Convert to fraction form
    102,003.98/153,005.74 = 27,124.13/x
  3. Step 3: Cross multiply
    102,003.98x = 153,005.74 × 27,124.13
  4. Step 4: Simplify right side
    102,003.98x = 4,150,147,897.21
  5. Step 5: Solve for x
    x = 4,150,147,897.21/102,003.98
  6. Step 6: Final answer
    x = 40,686.14

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1.5x scale

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.