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Finding the Fourth Proportional to 85,332.69, 127,903.66 and 31,973.33

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Solution

The fourth proportional to 85,332.69, 127,903.66 and 31,973.33 is: 47,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,332.69 : 127,903.66 = 31,973.33 : x
  2. Step 2: Convert to fraction form
    85,332.69/127,903.66 = 31,973.33/x
  3. Step 3: Cross multiply
    85,332.69x = 127,903.66 × 31,973.33
  4. Step 4: Simplify right side
    85,332.69x = 4,089,506,169.21
  5. Step 5: Solve for x
    x = 4,089,506,169.21/85,332.69
  6. Step 6: Final answer
    x = 47,924.26

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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.