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Finding the Fourth Proportional to 30,657.40, 42,307.49 and 18,558.16

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Solution

The fourth proportional to 30,657.40, 42,307.49 and 18,558.16 is: 25,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.40 : 42,307.49 = 18,558.16 : x
  2. Step 2: Convert to fraction form
    30,657.40/42,307.49 = 18,558.16/x
  3. Step 3: Cross multiply
    30,657.40x = 42,307.49 × 18,558.16
  4. Step 4: Simplify right side
    30,657.40x = 785,148,864.29
  5. Step 5: Solve for x
    x = 785,148,864.29/30,657.40
  6. Step 6: Final answer
    x = 25,610.42

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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.