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Finding the Fourth Proportional to 103,336, 155,005.44 and 29,464

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Solution

The fourth proportional to 103,336, 155,005.44 and 29,464 is: 44,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,336 : 155,005.44 = 29,464 : x
  2. Step 2: Convert to fraction form
    103,336/155,005.44 = 29,464/x
  3. Step 3: Cross multiply
    103,336x = 155,005.44 × 29,464
  4. Step 4: Simplify right side
    103,336x = 4,567,080,284.16
  5. Step 5: Solve for x
    x = 4,567,080,284.16/103,336
  6. Step 6: Final answer
    x = 44,196.41

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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.