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Finding the Fourth Proportional to 82,281, 123,421.47 and 19,951.50

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Solution

The fourth proportional to 82,281, 123,421.47 and 19,951.50 is: 29,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,281 : 123,421.47 = 19,951.50 : x
  2. Step 2: Convert to fraction form
    82,281/123,421.47 = 19,951.50/x
  3. Step 3: Cross multiply
    82,281x = 123,421.47 × 19,951.50
  4. Step 4: Simplify right side
    82,281x = 2,462,443,458.71
  5. Step 5: Solve for x
    x = 2,462,443,458.71/82,281
  6. Step 6: Final answer
    x = 29,927.24

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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.