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Finding the Fourth Proportional to 86,934.67, 130,421.54 and 46,952.80

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Solution

The fourth proportional to 86,934.67, 130,421.54 and 46,952.80 is: 70,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,934.67 : 130,421.54 = 46,952.80 : x
  2. Step 2: Convert to fraction form
    86,934.67/130,421.54 = 46,952.80/x
  3. Step 3: Cross multiply
    86,934.67x = 130,421.54 × 46,952.80
  4. Step 4: Simplify right side
    86,934.67x = 6,123,656,274.64
  5. Step 5: Solve for x
    x = 6,123,656,274.64/86,934.67
  6. Step 6: Final answer
    x = 70,439.75

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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.