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Finding the Fourth Proportional to 56,076.40, 77,384.40 and 30,582.96

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Solution

The fourth proportional to 56,076.40, 77,384.40 and 30,582.96 is: 42,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076.40 : 77,384.40 = 30,582.96 : x
  2. Step 2: Convert to fraction form
    56,076.40/77,384.40 = 30,582.96/x
  3. Step 3: Cross multiply
    56,076.40x = 77,384.40 × 30,582.96
  4. Step 4: Simplify right side
    56,076.40x = 2,366,644,009.82
  5. Step 5: Solve for x
    x = 2,366,644,009.82/56,076.40
  6. Step 6: Final answer
    x = 42,203.92

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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.