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Finding the Fourth Proportional to 104,648.76, 156,973.14 and 30,776.76

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Solution

The fourth proportional to 104,648.76, 156,973.14 and 30,776.76 is: 46,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,648.76 : 156,973.14 = 30,776.76 : x
  2. Step 2: Convert to fraction form
    104,648.76/156,973.14 = 30,776.76/x
  3. Step 3: Cross multiply
    104,648.76x = 156,973.14 × 30,776.76
  4. Step 4: Simplify right side
    104,648.76x = 4,831,124,656.23
  5. Step 5: Solve for x
    x = 4,831,124,656.23/104,648.76
  6. Step 6: Final answer
    x = 46,165.14

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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.