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Finding the Fourth Proportional to 46,249, 69,385.02 and 13,417

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Solution

The fourth proportional to 46,249, 69,385.02 and 13,417 is: 20,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,249 : 69,385.02 = 13,417 : x
  2. Step 2: Convert to fraction form
    46,249/69,385.02 = 13,417/x
  3. Step 3: Cross multiply
    46,249x = 69,385.02 × 13,417
  4. Step 4: Simplify right side
    46,249x = 930,938,813.34
  5. Step 5: Solve for x
    x = 930,938,813.34/46,249
  6. Step 6: Final answer
    x = 20,128.84

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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.