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Finding the Fourth Proportional to 46,308, 69,461.94 and 11,247.60

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Solution

The fourth proportional to 46,308, 69,461.94 and 11,247.60 is: 16,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,308 : 69,461.94 = 11,247.60 : x
  2. Step 2: Convert to fraction form
    46,308/69,461.94 = 11,247.60/x
  3. Step 3: Cross multiply
    46,308x = 69,461.94 × 11,247.60
  4. Step 4: Simplify right side
    46,308x = 781,280,116.34
  5. Step 5: Solve for x
    x = 781,280,116.34/46,308
  6. Step 6: Final answer
    x = 16,871.39

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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.