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Finding the Fourth Proportional to 69,783.93, 96,305.76 and 37,952.19

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Solution

The fourth proportional to 69,783.93, 96,305.76 and 37,952.19 is: 52,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,783.93 : 96,305.76 = 37,952.19 : x
  2. Step 2: Convert to fraction form
    69,783.93/96,305.76 = 37,952.19/x
  3. Step 3: Cross multiply
    69,783.93x = 96,305.76 × 37,952.19
  4. Step 4: Simplify right side
    69,783.93x = 3,655,014,501.61
  5. Step 5: Solve for x
    x = 3,655,014,501.61/69,783.93
  6. Step 6: Final answer
    x = 52,376.16

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Why These Related Problems?

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