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Finding the Fourth Proportional to 52,451.61, 78,746.00 and 31,143.22

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Solution

The fourth proportional to 52,451.61, 78,746.00 and 31,143.22 is: 46,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.61 : 78,746.00 = 31,143.22 : x
  2. Step 2: Convert to fraction form
    52,451.61/78,746.00 = 31,143.22/x
  3. Step 3: Cross multiply
    52,451.61x = 78,746.00 × 31,143.22
  4. Step 4: Simplify right side
    52,451.61x = 2,452,403,883.11
  5. Step 5: Solve for x
    x = 2,452,403,883.11/52,451.61
  6. Step 6: Final answer
    x = 46,755.55

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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.