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Finding the Fourth Proportional to 29,668.16, 44,502.08 and 7,780.16

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Solution

The fourth proportional to 29,668.16, 44,502.08 and 7,780.16 is: 11,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.16 : 44,502.08 = 7,780.16 : x
  2. Step 2: Convert to fraction form
    29,668.16/44,502.08 = 7,780.16/x
  3. Step 3: Cross multiply
    29,668.16x = 44,502.08 × 7,780.16
  4. Step 4: Simplify right side
    29,668.16x = 346,233,302.73
  5. Step 5: Solve for x
    x = 346,233,302.73/29,668.16
  6. Step 6: Final answer
    x = 11,670.20

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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.