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Finding the Fourth Proportional to 93,977.64, 129,690.99 and 51,538.50

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Solution

The fourth proportional to 93,977.64, 129,690.99 and 51,538.50 is: 71,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,977.64 : 129,690.99 = 51,538.50 : x
  2. Step 2: Convert to fraction form
    93,977.64/129,690.99 = 51,538.50/x
  3. Step 3: Cross multiply
    93,977.64x = 129,690.99 × 51,538.50
  4. Step 4: Simplify right side
    93,977.64x = 6,684,079,088.12
  5. Step 5: Solve for x
    x = 6,684,079,088.12/93,977.64
  6. Step 6: Final answer
    x = 71,124.14

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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.