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Finding the Fourth Proportional to 30,533.52, 45,817.60 and 13,001.52

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Solution

The fourth proportional to 30,533.52, 45,817.60 and 13,001.52 is: 19,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.52 : 45,817.60 = 13,001.52 : x
  2. Step 2: Convert to fraction form
    30,533.52/45,817.60 = 13,001.52/x
  3. Step 3: Cross multiply
    30,533.52x = 45,817.60 × 13,001.52
  4. Step 4: Simplify right side
    30,533.52x = 595,698,442.75
  5. Step 5: Solve for x
    x = 595,698,442.75/30,533.52
  6. Step 6: Final answer
    x = 19,509.66

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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.