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Finding the Fourth Proportional to 104,564.98, 156,823.95 and 29,683.51

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Solution

The fourth proportional to 104,564.98, 156,823.95 and 29,683.51 is: 44,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564.98 : 156,823.95 = 29,683.51 : x
  2. Step 2: Convert to fraction form
    104,564.98/156,823.95 = 29,683.51/x
  3. Step 3: Cross multiply
    104,564.98x = 156,823.95 × 29,683.51
  4. Step 4: Simplify right side
    104,564.98x = 4,655,085,288.06
  5. Step 5: Solve for x
    x = 4,655,085,288.06/104,564.98
  6. Step 6: Final answer
    x = 44,518.59

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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.