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Finding the Fourth Proportional to 55,865.32, 77,094.14 and 30,714.82

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Solution

The fourth proportional to 55,865.32, 77,094.14 and 30,714.82 is: 42,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865.32 : 77,094.14 = 30,714.82 : x
  2. Step 2: Convert to fraction form
    55,865.32/77,094.14 = 30,714.82/x
  3. Step 3: Cross multiply
    55,865.32x = 77,094.14 × 30,714.82
  4. Step 4: Simplify right side
    55,865.32x = 2,367,932,719.64
  5. Step 5: Solve for x
    x = 2,367,932,719.64/55,865.32
  6. Step 6: Final answer
    x = 42,386.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.