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Finding the Fourth Proportional to 53,020.41, 79,509.68 and 21,424.50

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Solution

The fourth proportional to 53,020.41, 79,509.68 and 21,424.50 is: 32,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020.41 : 79,509.68 = 21,424.50 : x
  2. Step 2: Convert to fraction form
    53,020.41/79,509.68 = 21,424.50/x
  3. Step 3: Cross multiply
    53,020.41x = 79,509.68 × 21,424.50
  4. Step 4: Simplify right side
    53,020.41x = 1,703,455,261.46
  5. Step 5: Solve for x
    x = 1,703,455,261.46/53,020.41
  6. Step 6: Final answer
    x = 32,128.29

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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.