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Finding the Fourth Proportional to 46,284, 69,411.60 and 16,697.96

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Solution

The fourth proportional to 46,284, 69,411.60 and 16,697.96 is: 25,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284 : 69,411.60 = 16,697.96 : x
  2. Step 2: Convert to fraction form
    46,284/69,411.60 = 16,697.96/x
  3. Step 3: Cross multiply
    46,284x = 69,411.60 × 16,697.96
  4. Step 4: Simplify right side
    46,284x = 1,159,032,120.34
  5. Step 5: Solve for x
    x = 1,159,032,120.34/46,284
  6. Step 6: Final answer
    x = 25,041.74

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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.