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Finding the Fourth Proportional to 38,429.76, 53,033.76 and 21,434.88

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Solution

The fourth proportional to 38,429.76, 53,033.76 and 21,434.88 is: 29,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.76 : 53,033.76 = 21,434.88 : x
  2. Step 2: Convert to fraction form
    38,429.76/53,033.76 = 21,434.88/x
  3. Step 3: Cross multiply
    38,429.76x = 53,033.76 × 21,434.88
  4. Step 4: Simplify right side
    38,429.76x = 1,136,772,281.55
  5. Step 5: Solve for x
    x = 1,136,772,281.55/38,429.76
  6. Step 6: Final answer
    x = 29,580.52

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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.