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Finding the Fourth Proportional to 30,869.58, 42,597.50 and 17,442

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Solution

The fourth proportional to 30,869.58, 42,597.50 and 17,442 is: 24,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.58 : 42,597.50 = 17,442 : x
  2. Step 2: Convert to fraction form
    30,869.58/42,597.50 = 17,442/x
  3. Step 3: Cross multiply
    30,869.58x = 42,597.50 × 17,442
  4. Step 4: Simplify right side
    30,869.58x = 742,985,507.79
  5. Step 5: Solve for x
    x = 742,985,507.79/30,869.58
  6. Step 6: Final answer
    x = 24,068.53

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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.