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Finding the Fourth Proportional to 30,505.36, 45,762.60 and 10,784.08

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Solution

The fourth proportional to 30,505.36, 45,762.60 and 10,784.08 is: 16,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.36 : 45,762.60 = 10,784.08 : x
  2. Step 2: Convert to fraction form
    30,505.36/45,762.60 = 10,784.08/x
  3. Step 3: Cross multiply
    30,505.36x = 45,762.60 × 10,784.08
  4. Step 4: Simplify right side
    30,505.36x = 493,507,539.41
  5. Step 5: Solve for x
    x = 493,507,539.41/30,505.36
  6. Step 6: Final answer
    x = 16,177.73

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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.