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Finding the Fourth Proportional to 53,200.02, 73,412.73 and 29,325.46

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Solution

The fourth proportional to 53,200.02, 73,412.73 and 29,325.46 is: 40,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.02 : 73,412.73 = 29,325.46 : x
  2. Step 2: Convert to fraction form
    53,200.02/73,412.73 = 29,325.46/x
  3. Step 3: Cross multiply
    53,200.02x = 73,412.73 × 29,325.46
  4. Step 4: Simplify right side
    53,200.02x = 2,152,862,077.11
  5. Step 5: Solve for x
    x = 2,152,862,077.11/53,200.02
  6. Step 6: Final answer
    x = 40,467.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.