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Finding the Fourth Proportional to 40,709.60, 61,071.60 and 14,429.60

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Solution

The fourth proportional to 40,709.60, 61,071.60 and 14,429.60 is: 21,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,709.60 : 61,071.60 = 14,429.60 : x
  2. Step 2: Convert to fraction form
    40,709.60/61,071.60 = 14,429.60/x
  3. Step 3: Cross multiply
    40,709.60x = 61,071.60 × 14,429.60
  4. Step 4: Simplify right side
    40,709.60x = 881,238,759.36
  5. Step 5: Solve for x
    x = 881,238,759.36/40,709.60
  6. Step 6: Final answer
    x = 21,646.95

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Why These Related Problems?

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