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Finding the Fourth Proportional to 77,503.12, 106,946.90 and 43,503.81

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Solution

The fourth proportional to 77,503.12, 106,946.90 and 43,503.81 is: 60,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,503.12 : 106,946.90 = 43,503.81 : x
  2. Step 2: Convert to fraction form
    77,503.12/106,946.90 = 43,503.81/x
  3. Step 3: Cross multiply
    77,503.12x = 106,946.90 × 43,503.81
  4. Step 4: Simplify right side
    77,503.12x = 4,652,597,726.45
  5. Step 5: Solve for x
    x = 4,652,597,726.45/77,503.12
  6. Step 6: Final answer
    x = 60,031.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.