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Finding the Fourth Proportional to 53,114.65, 73,298.86 and 29,242.94

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Solution

The fourth proportional to 53,114.65, 73,298.86 and 29,242.94 is: 40,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114.65 : 73,298.86 = 29,242.94 : x
  2. Step 2: Convert to fraction form
    53,114.65/73,298.86 = 29,242.94/x
  3. Step 3: Cross multiply
    53,114.65x = 73,298.86 × 29,242.94
  4. Step 4: Simplify right side
    53,114.65x = 2,143,473,725.45
  5. Step 5: Solve for x
    x = 2,143,473,725.45/53,114.65
  6. Step 6: Final answer
    x = 40,355.60

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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.