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Finding the Fourth Proportional to 59,783.40, 82,497.93 and 34,288.44

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Solution

The fourth proportional to 59,783.40, 82,497.93 and 34,288.44 is: 47,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,783.40 : 82,497.93 = 34,288.44 : x
  2. Step 2: Convert to fraction form
    59,783.40/82,497.93 = 34,288.44/x
  3. Step 3: Cross multiply
    59,783.40x = 82,497.93 × 34,288.44
  4. Step 4: Simplify right side
    59,783.40x = 2,828,725,322.93
  5. Step 5: Solve for x
    x = 2,828,725,322.93/59,783.40
  6. Step 6: Final answer
    x = 47,316.23

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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.