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Finding the Fourth Proportional to 31,257, 46,897.02 and 16,465.32

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Solution

The fourth proportional to 31,257, 46,897.02 and 16,465.32 is: 24,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 46,897.02 = 16,465.32 : x
  2. Step 2: Convert to fraction form
    31,257/46,897.02 = 16,465.32/x
  3. Step 3: Cross multiply
    31,257x = 46,897.02 × 16,465.32
  4. Step 4: Simplify right side
    31,257x = 772,174,441.35
  5. Step 5: Solve for x
    x = 772,174,441.35/31,257
  6. Step 6: Final answer
    x = 24,704.05

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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.