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Finding the Fourth Proportional to 30,400.42, 45,599.26 and 9,339.60

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Solution

The fourth proportional to 30,400.42, 45,599.26 and 9,339.60 is: 14,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.42 : 45,599.26 = 9,339.60 : x
  2. Step 2: Convert to fraction form
    30,400.42/45,599.26 = 9,339.60/x
  3. Step 3: Cross multiply
    30,400.42x = 45,599.26 × 9,339.60
  4. Step 4: Simplify right side
    30,400.42x = 425,878,848.70
  5. Step 5: Solve for x
    x = 425,878,848.70/30,400.42
  6. Step 6: Final answer
    x = 14,008.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.