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Finding the Fourth Proportional to 96,506.16, 144,668.52 and 52,066.32

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Solution

The fourth proportional to 96,506.16, 144,668.52 and 52,066.32 is: 78,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.16 : 144,668.52 = 52,066.32 : x
  2. Step 2: Convert to fraction form
    96,506.16/144,668.52 = 52,066.32/x
  3. Step 3: Cross multiply
    96,506.16x = 144,668.52 × 52,066.32
  4. Step 4: Simplify right side
    96,506.16x = 7,532,357,456.25
  5. Step 5: Solve for x
    x = 7,532,357,456.25/96,506.16
  6. Step 6: Final answer
    x = 78,050.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.