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Finding the Fourth Proportional to 56,034.76, 77,328.30 and 32,160.82

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Solution

The fourth proportional to 56,034.76, 77,328.30 and 32,160.82 is: 44,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034.76 : 77,328.30 = 32,160.82 : x
  2. Step 2: Convert to fraction form
    56,034.76/77,328.30 = 32,160.82/x
  3. Step 3: Cross multiply
    56,034.76x = 77,328.30 × 32,160.82
  4. Step 4: Simplify right side
    56,034.76x = 2,486,941,537.21
  5. Step 5: Solve for x
    x = 2,486,941,537.21/56,034.76
  6. Step 6: Final answer
    x = 44,382.12

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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.