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Finding the Fourth Proportional to 30,828.03, 42,542.70 and 21,402.06

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Solution

The fourth proportional to 30,828.03, 42,542.70 and 21,402.06 is: 29,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.03 : 42,542.70 = 21,402.06 : x
  2. Step 2: Convert to fraction form
    30,828.03/42,542.70 = 21,402.06/x
  3. Step 3: Cross multiply
    30,828.03x = 42,542.70 × 21,402.06
  4. Step 4: Simplify right side
    30,828.03x = 910,501,417.96
  5. Step 5: Solve for x
    x = 910,501,417.96/30,828.03
  6. Step 6: Final answer
    x = 29,534.86

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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.