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Finding the Fourth Proportional to 82,157.10, 113,376.55 and 46,347

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Solution

The fourth proportional to 82,157.10, 113,376.55 and 46,347 is: 63,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.10 : 113,376.55 = 46,347 : x
  2. Step 2: Convert to fraction form
    82,157.10/113,376.55 = 46,347/x
  3. Step 3: Cross multiply
    82,157.10x = 113,376.55 × 46,347
  4. Step 4: Simplify right side
    82,157.10x = 5,254,662,962.85
  5. Step 5: Solve for x
    x = 5,254,662,962.85/82,157.10
  6. Step 6: Final answer
    x = 63,958.72

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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.