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Finding the Fourth Proportional to 82,426.77, 123,636.74 and 38,038.77

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Solution

The fourth proportional to 82,426.77, 123,636.74 and 38,038.77 is: 57,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,426.77 : 123,636.74 = 38,038.77 : x
  2. Step 2: Convert to fraction form
    82,426.77/123,636.74 = 38,038.77/x
  3. Step 3: Cross multiply
    82,426.77x = 123,636.74 × 38,038.77
  4. Step 4: Simplify right side
    82,426.77x = 4,702,989,326.22
  5. Step 5: Solve for x
    x = 4,702,989,326.22/82,426.77
  6. Step 6: Final answer
    x = 57,056.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.