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Finding the Fourth Proportional to 52,451.99, 78,746.57 and 31,143.59

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Solution

The fourth proportional to 52,451.99, 78,746.57 and 31,143.59 is: 46,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.99 : 78,746.57 = 31,143.59 : x
  2. Step 2: Convert to fraction form
    52,451.99/78,746.57 = 31,143.59/x
  3. Step 3: Cross multiply
    52,451.99x = 78,746.57 × 31,143.59
  4. Step 4: Simplify right side
    52,451.99x = 2,452,450,752.62
  5. Step 5: Solve for x
    x = 2,452,450,752.62/52,451.99
  6. Step 6: Final answer
    x = 46,756.11

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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.