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Finding the Fourth Proportional to 30,091.98, 45,137.94 and 9,032.01

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Solution

The fourth proportional to 30,091.98, 45,137.94 and 9,032.01 is: 13,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091.98 : 45,137.94 = 9,032.01 : x
  2. Step 2: Convert to fraction form
    30,091.98/45,137.94 = 9,032.01/x
  3. Step 3: Cross multiply
    30,091.98x = 45,137.94 × 9,032.01
  4. Step 4: Simplify right side
    30,091.98x = 407,686,122.32
  5. Step 5: Solve for x
    x = 407,686,122.32/30,091.98
  6. Step 6: Final answer
    x = 13,548.00

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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.