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Finding the Fourth Proportional to 30,442.46, 42,009.80 and 17,013.82

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Solution

The fourth proportional to 30,442.46, 42,009.80 and 17,013.82 is: 23,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.46 : 42,009.80 = 17,013.82 : x
  2. Step 2: Convert to fraction form
    30,442.46/42,009.80 = 17,013.82/x
  3. Step 3: Cross multiply
    30,442.46x = 42,009.80 × 17,013.82
  4. Step 4: Simplify right side
    30,442.46x = 714,746,985.34
  5. Step 5: Solve for x
    x = 714,746,985.34/30,442.46
  6. Step 6: Final answer
    x = 23,478.63

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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.