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Finding the Fourth Proportional to 82,235.34, 113,492.25 and 46,434.15

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Solution

The fourth proportional to 82,235.34, 113,492.25 and 46,434.15 is: 64,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,235.34 : 113,492.25 = 46,434.15 : x
  2. Step 2: Convert to fraction form
    82,235.34/113,492.25 = 46,434.15/x
  3. Step 3: Cross multiply
    82,235.34x = 113,492.25 × 46,434.15
  4. Step 4: Simplify right side
    82,235.34x = 5,269,916,160.34
  5. Step 5: Solve for x
    x = 5,269,916,160.34/82,235.34
  6. Step 6: Final answer
    x = 64,083.35

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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.