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Finding the Fourth Proportional to 52,165.29, 78,246.54 and 14,727.93

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Solution

The fourth proportional to 52,165.29, 78,246.54 and 14,727.93 is: 22,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.29 : 78,246.54 = 14,727.93 : x
  2. Step 2: Convert to fraction form
    52,165.29/78,246.54 = 14,727.93/x
  3. Step 3: Cross multiply
    52,165.29x = 78,246.54 × 14,727.93
  4. Step 4: Simplify right side
    52,165.29x = 1,152,409,563.86
  5. Step 5: Solve for x
    x = 1,152,409,563.86/52,165.29
  6. Step 6: Final answer
    x = 22,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.