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Finding the Fourth Proportional to 93,517.30, 129,051.84 and 51,076

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Solution

The fourth proportional to 93,517.30, 129,051.84 and 51,076 is: 70,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,517.30 : 129,051.84 = 51,076 : x
  2. Step 2: Convert to fraction form
    93,517.30/129,051.84 = 51,076/x
  3. Step 3: Cross multiply
    93,517.30x = 129,051.84 × 51,076
  4. Step 4: Simplify right side
    93,517.30x = 6,591,451,779.84
  5. Step 5: Solve for x
    x = 6,591,451,779.84/93,517.30
  6. Step 6: Final answer
    x = 70,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.