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Finding the Fourth Proportional to 102,710.70, 153,960.34 and 50,055.02

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Solution

The fourth proportional to 102,710.70, 153,960.34 and 50,055.02 is: 75,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710.70 : 153,960.34 = 50,055.02 : x
  2. Step 2: Convert to fraction form
    102,710.70/153,960.34 = 50,055.02/x
  3. Step 3: Cross multiply
    102,710.70x = 153,960.34 × 50,055.02
  4. Step 4: Simplify right side
    102,710.70x = 7,706,487,897.91
  5. Step 5: Solve for x
    x = 7,706,487,897.91/102,710.70
  6. Step 6: Final answer
    x = 75,031.01

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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.