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Finding the Fourth Proportional to 93,158.34, 128,536.65 and 52,863

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Solution

The fourth proportional to 93,158.34, 128,536.65 and 52,863 is: 72,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,158.34 : 128,536.65 = 52,863 : x
  2. Step 2: Convert to fraction form
    93,158.34/128,536.65 = 52,863/x
  3. Step 3: Cross multiply
    93,158.34x = 128,536.65 × 52,863
  4. Step 4: Simplify right side
    93,158.34x = 6,794,832,928.95
  5. Step 5: Solve for x
    x = 6,794,832,928.95/93,158.34
  6. Step 6: Final answer
    x = 72,938.54

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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.