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Finding the Fourth Proportional to 75,946.90, 104,806.71 and 42,412.90

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Solution

The fourth proportional to 75,946.90, 104,806.71 and 42,412.90 is: 58,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946.90 : 104,806.71 = 42,412.90 : x
  2. Step 2: Convert to fraction form
    75,946.90/104,806.71 = 42,412.90/x
  3. Step 3: Cross multiply
    75,946.90x = 104,806.71 × 42,412.90
  4. Step 4: Simplify right side
    75,946.90x = 4,445,156,510.56
  5. Step 5: Solve for x
    x = 4,445,156,510.56/75,946.90
  6. Step 6: Final answer
    x = 58,529.80

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1.5x scale

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.