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Finding the Fourth Proportional to 47,316, 70,986 and 17,733.92

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Solution

The fourth proportional to 47,316, 70,986 and 17,733.92 is: 26,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316 : 70,986 = 17,733.92 : x
  2. Step 2: Convert to fraction form
    47,316/70,986 = 17,733.92/x
  3. Step 3: Cross multiply
    47,316x = 70,986 × 17,733.92
  4. Step 4: Simplify right side
    47,316x = 1,258,860,045.12
  5. Step 5: Solve for x
    x = 1,258,860,045.12/47,316
  6. Step 6: Final answer
    x = 26,605.38

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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.