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Finding the Fourth Proportional to 55,833, 77,051.16 and 30,684.12

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Solution

The fourth proportional to 55,833, 77,051.16 and 30,684.12 is: 42,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,833 : 77,051.16 = 30,684.12 : x
  2. Step 2: Convert to fraction form
    55,833/77,051.16 = 30,684.12/x
  3. Step 3: Cross multiply
    55,833x = 77,051.16 × 30,684.12
  4. Step 4: Simplify right side
    55,833x = 2,364,247,039.58
  5. Step 5: Solve for x
    x = 2,364,247,039.58/55,833
  6. Step 6: Final answer
    x = 42,344.98

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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.