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Finding the Fourth Proportional to 40,830.48, 61,232.76 and 13,122

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Solution

The fourth proportional to 40,830.48, 61,232.76 and 13,122 is: 19,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,830.48 : 61,232.76 = 13,122 : x
  2. Step 2: Convert to fraction form
    40,830.48/61,232.76 = 13,122/x
  3. Step 3: Cross multiply
    40,830.48x = 61,232.76 × 13,122
  4. Step 4: Simplify right side
    40,830.48x = 803,496,276.72
  5. Step 5: Solve for x
    x = 803,496,276.72/40,830.48
  6. Step 6: Final answer
    x = 19,678.83

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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.