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Finding the Fourth Proportional to 56,380.47, 77,804.81 and 30,886.80

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Solution

The fourth proportional to 56,380.47, 77,804.81 and 30,886.80 is: 42,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380.47 : 77,804.81 = 30,886.80 : x
  2. Step 2: Convert to fraction form
    56,380.47/77,804.81 = 30,886.80/x
  3. Step 3: Cross multiply
    56,380.47x = 77,804.81 × 30,886.80
  4. Step 4: Simplify right side
    56,380.47x = 2,403,141,605.51
  5. Step 5: Solve for x
    x = 2,403,141,605.51/56,380.47
  6. Step 6: Final answer
    x = 42,623.65

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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.