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Finding the Fourth Proportional to 30,032.52, 45,059.31 and 9,256.02

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Solution

The fourth proportional to 30,032.52, 45,059.31 and 9,256.02 is: 13,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.52 : 45,059.31 = 9,256.02 : x
  2. Step 2: Convert to fraction form
    30,032.52/45,059.31 = 9,256.02/x
  3. Step 3: Cross multiply
    30,032.52x = 45,059.31 × 9,256.02
  4. Step 4: Simplify right side
    30,032.52x = 417,069,874.55
  5. Step 5: Solve for x
    x = 417,069,874.55/30,032.52
  6. Step 6: Final answer
    x = 13,887.28

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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.