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Finding the Fourth Proportional to 30,415.80, 45,602.10 and 11,688.60

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Solution

The fourth proportional to 30,415.80, 45,602.10 and 11,688.60 is: 17,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.80 : 45,602.10 = 11,688.60 : x
  2. Step 2: Convert to fraction form
    30,415.80/45,602.10 = 11,688.60/x
  3. Step 3: Cross multiply
    30,415.80x = 45,602.10 × 11,688.60
  4. Step 4: Simplify right side
    30,415.80x = 533,024,706.06
  5. Step 5: Solve for x
    x = 533,024,706.06/30,415.80
  6. Step 6: Final answer
    x = 17,524.60

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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.