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Finding the Fourth Proportional to 47,307.68, 65,281.64 and 27,150.38

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Solution

The fourth proportional to 47,307.68, 65,281.64 and 27,150.38 is: 37,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307.68 : 65,281.64 = 27,150.38 : x
  2. Step 2: Convert to fraction form
    47,307.68/65,281.64 = 27,150.38/x
  3. Step 3: Cross multiply
    47,307.68x = 65,281.64 × 27,150.38
  4. Step 4: Simplify right side
    47,307.68x = 1,772,420,870.86
  5. Step 5: Solve for x
    x = 1,772,420,870.86/47,307.68
  6. Step 6: Final answer
    x = 37,465.82

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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.