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Finding the Fourth Proportional to 56,384.32, 77,809.42 and 30,890.45

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Solution

The fourth proportional to 56,384.32, 77,809.42 and 30,890.45 is: 42,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.32 : 77,809.42 = 30,890.45 : x
  2. Step 2: Convert to fraction form
    56,384.32/77,809.42 = 30,890.45/x
  3. Step 3: Cross multiply
    56,384.32x = 77,809.42 × 30,890.45
  4. Step 4: Simplify right side
    56,384.32x = 2,403,567,726.29
  5. Step 5: Solve for x
    x = 2,403,567,726.29/56,384.32
  6. Step 6: Final answer
    x = 42,628.30

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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.