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Finding the Fourth Proportional to 30,600.08, 45,904.92 and 13,070

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Solution

The fourth proportional to 30,600.08, 45,904.92 and 13,070 is: 19,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600.08 : 45,904.92 = 13,070 : x
  2. Step 2: Convert to fraction form
    30,600.08/45,904.92 = 13,070/x
  3. Step 3: Cross multiply
    30,600.08x = 45,904.92 × 13,070
  4. Step 4: Simplify right side
    30,600.08x = 599,977,304.40
  5. Step 5: Solve for x
    x = 599,977,304.40/30,600.08
  6. Step 6: Final answer
    x = 19,607.05

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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.