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Finding the Fourth Proportional to 38,434.76, 53,035.24 and 21,435.02

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Solution

The fourth proportional to 38,434.76, 53,035.24 and 21,435.02 is: 29,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.76 : 53,035.24 = 21,435.02 : x
  2. Step 2: Convert to fraction form
    38,434.76/53,035.24 = 21,435.02/x
  3. Step 3: Cross multiply
    38,434.76x = 53,035.24 × 21,435.02
  4. Step 4: Simplify right side
    38,434.76x = 1,136,811,430.10
  5. Step 5: Solve for x
    x = 1,136,811,430.10/38,434.76
  6. Step 6: Final answer
    x = 29,577.69

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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.