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Finding the Fourth Proportional to 82,719.35, 114,158.32 and 46,911.66

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Solution

The fourth proportional to 82,719.35, 114,158.32 and 46,911.66 is: 64,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,719.35 : 114,158.32 = 46,911.66 : x
  2. Step 2: Convert to fraction form
    82,719.35/114,158.32 = 46,911.66/x
  3. Step 3: Cross multiply
    82,719.35x = 114,158.32 × 46,911.66
  4. Step 4: Simplify right side
    82,719.35x = 5,355,356,800.89
  5. Step 5: Solve for x
    x = 5,355,356,800.89/82,719.35
  6. Step 6: Final answer
    x = 64,741.29

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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.