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Finding the Fourth Proportional to 30,430.64, 45,571.43 and 25,133.24

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Solution

The fourth proportional to 30,430.64, 45,571.43 and 25,133.24 is: 37,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.64 : 45,571.43 = 25,133.24 : x
  2. Step 2: Convert to fraction form
    30,430.64/45,571.43 = 25,133.24/x
  3. Step 3: Cross multiply
    30,430.64x = 45,571.43 × 25,133.24
  4. Step 4: Simplify right side
    30,430.64x = 1,145,357,333.81
  5. Step 5: Solve for x
    x = 1,145,357,333.81/30,430.64
  6. Step 6: Final answer
    x = 37,638.30

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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.