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Finding the Fourth Proportional to 38,428.96, 53,030.10 and 21,434.98

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Solution

The fourth proportional to 38,428.96, 53,030.10 and 21,434.98 is: 29,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.96 : 53,030.10 = 21,434.98 : x
  2. Step 2: Convert to fraction form
    38,428.96/53,030.10 = 21,434.98/x
  3. Step 3: Cross multiply
    38,428.96x = 53,030.10 × 21,434.98
  4. Step 4: Simplify right side
    38,428.96x = 1,136,699,132.90
  5. Step 5: Solve for x
    x = 1,136,699,132.90/38,428.96
  6. Step 6: Final answer
    x = 29,579.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.