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Finding the Fourth Proportional to 82,302.85, 113,587.15 and 46,495.16

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Solution

The fourth proportional to 82,302.85, 113,587.15 and 46,495.16 is: 64,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.85 : 113,587.15 = 46,495.16 : x
  2. Step 2: Convert to fraction form
    82,302.85/113,587.15 = 46,495.16/x
  3. Step 3: Cross multiply
    82,302.85x = 113,587.15 × 46,495.16
  4. Step 4: Simplify right side
    82,302.85x = 5,281,252,880.92
  5. Step 5: Solve for x
    x = 5,281,252,880.92/82,302.85
  6. Step 6: Final answer
    x = 64,168.53

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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.