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Finding the Fourth Proportional to 53,193.68, 73,407 and 29,320.40

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Solution

The fourth proportional to 53,193.68, 73,407 and 29,320.40 is: 40,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,193.68 : 73,407 = 29,320.40 : x
  2. Step 2: Convert to fraction form
    53,193.68/73,407 = 29,320.40/x
  3. Step 3: Cross multiply
    53,193.68x = 73,407 × 29,320.40
  4. Step 4: Simplify right side
    53,193.68x = 2,152,322,602.80
  5. Step 5: Solve for x
    x = 2,152,322,602.80/53,193.68
  6. Step 6: Final answer
    x = 40,462.00

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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.