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Finding the Fourth Proportional to 42,407.60, 63,611.40 and 30,657.20

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Solution

The fourth proportional to 42,407.60, 63,611.40 and 30,657.20 is: 45,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.60 : 63,611.40 = 30,657.20 : x
  2. Step 2: Convert to fraction form
    42,407.60/63,611.40 = 30,657.20/x
  3. Step 3: Cross multiply
    42,407.60x = 63,611.40 × 30,657.20
  4. Step 4: Simplify right side
    42,407.60x = 1,950,147,412.08
  5. Step 5: Solve for x
    x = 1,950,147,412.08/42,407.60
  6. Step 6: Final answer
    x = 45,985.80

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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.