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Finding the Fourth Proportional to 56,482.26, 77,954.85 and 31,339.86

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Solution

The fourth proportional to 56,482.26, 77,954.85 and 31,339.86 is: 43,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,482.26 : 77,954.85 = 31,339.86 : x
  2. Step 2: Convert to fraction form
    56,482.26/77,954.85 = 31,339.86/x
  3. Step 3: Cross multiply
    56,482.26x = 77,954.85 × 31,339.86
  4. Step 4: Simplify right side
    56,482.26x = 2,443,094,085.32
  5. Step 5: Solve for x
    x = 2,443,094,085.32/56,482.26
  6. Step 6: Final answer
    x = 43,254.18

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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.