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Finding the Fourth Proportional to 92,281.65, 138,296.62 and 47,208.64

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Solution

The fourth proportional to 92,281.65, 138,296.62 and 47,208.64 is: 70,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281.65 : 138,296.62 = 47,208.64 : x
  2. Step 2: Convert to fraction form
    92,281.65/138,296.62 = 47,208.64/x
  3. Step 3: Cross multiply
    92,281.65x = 138,296.62 × 47,208.64
  4. Step 4: Simplify right side
    92,281.65x = 6,528,795,078.64
  5. Step 5: Solve for x
    x = 6,528,795,078.64/92,281.65
  6. Step 6: Final answer
    x = 70,748.57

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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.