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Finding the Fourth Proportional to 30,985.74, 42,810.42 and 21,596.22

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Solution

The fourth proportional to 30,985.74, 42,810.42 and 21,596.22 is: 29,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.74 : 42,810.42 = 21,596.22 : x
  2. Step 2: Convert to fraction form
    30,985.74/42,810.42 = 21,596.22/x
  3. Step 3: Cross multiply
    30,985.74x = 42,810.42 × 21,596.22
  4. Step 4: Simplify right side
    30,985.74x = 924,543,248.61
  5. Step 5: Solve for x
    x = 924,543,248.61/30,985.74
  6. Step 6: Final answer
    x = 29,837.70

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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.