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Finding the Fourth Proportional to 56,523.06, 78,002.13 and 35,314.63

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Solution

The fourth proportional to 56,523.06, 78,002.13 and 35,314.63 is: 48,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523.06 : 78,002.13 = 35,314.63 : x
  2. Step 2: Convert to fraction form
    56,523.06/78,002.13 = 35,314.63/x
  3. Step 3: Cross multiply
    56,523.06x = 78,002.13 × 35,314.63
  4. Step 4: Simplify right side
    56,523.06x = 2,754,616,360.16
  5. Step 5: Solve for x
    x = 2,754,616,360.16/56,523.06
  6. Step 6: Final answer
    x = 48,734.38

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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.