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Finding the Fourth Proportional to 58,212, 80,332.56 and 31,716

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Solution

The fourth proportional to 58,212, 80,332.56 and 31,716 is: 43,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,212 : 80,332.56 = 31,716 : x
  2. Step 2: Convert to fraction form
    58,212/80,332.56 = 31,716/x
  3. Step 3: Cross multiply
    58,212x = 80,332.56 × 31,716
  4. Step 4: Simplify right side
    58,212x = 2,547,827,472.96
  5. Step 5: Solve for x
    x = 2,547,827,472.96/58,212
  6. Step 6: Final answer
    x = 43,768.08

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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.