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Finding the Fourth Proportional to 92,705.46, 138,946.95 and 42,716.94

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Solution

The fourth proportional to 92,705.46, 138,946.95 and 42,716.94 is: 64,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,705.46 : 138,946.95 = 42,716.94 : x
  2. Step 2: Convert to fraction form
    92,705.46/138,946.95 = 42,716.94/x
  3. Step 3: Cross multiply
    92,705.46x = 138,946.95 × 42,716.94
  4. Step 4: Simplify right side
    92,705.46x = 5,935,388,526.33
  5. Step 5: Solve for x
    x = 5,935,388,526.33/92,705.46
  6. Step 6: Final answer
    x = 64,024.15

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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.