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Finding the Fourth Proportional to 82,156.10, 113,375.18 and 46,346

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Solution

The fourth proportional to 82,156.10, 113,375.18 and 46,346 is: 63,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156.10 : 113,375.18 = 46,346 : x
  2. Step 2: Convert to fraction form
    82,156.10/113,375.18 = 46,346/x
  3. Step 3: Cross multiply
    82,156.10x = 113,375.18 × 46,346
  4. Step 4: Simplify right side
    82,156.10x = 5,254,485,860.55
  5. Step 5: Solve for x
    x = 5,254,485,860.55/82,156.10
  6. Step 6: Final answer
    x = 63,957.34

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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.