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Finding the Fourth Proportional to 56,384.45, 77,809.88 and 30,542.51

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Solution

The fourth proportional to 56,384.45, 77,809.88 and 30,542.51 is: 42,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.45 : 77,809.88 = 30,542.51 : x
  2. Step 2: Convert to fraction form
    56,384.45/77,809.88 = 30,542.51/x
  3. Step 3: Cross multiply
    56,384.45x = 77,809.88 × 30,542.51
  4. Step 4: Simplify right side
    56,384.45x = 2,376,509,101.80
  5. Step 5: Solve for x
    x = 2,376,509,101.80/56,384.45
  6. Step 6: Final answer
    x = 42,148.31

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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.