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Finding the Fourth Proportional to 49,386, 68,152.68 and 27,030

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Solution

The fourth proportional to 49,386, 68,152.68 and 27,030 is: 37,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,386 : 68,152.68 = 27,030 : x
  2. Step 2: Convert to fraction form
    49,386/68,152.68 = 27,030/x
  3. Step 3: Cross multiply
    49,386x = 68,152.68 × 27,030
  4. Step 4: Simplify right side
    49,386x = 1,842,166,940.40
  5. Step 5: Solve for x
    x = 1,842,166,940.40/49,386
  6. Step 6: Final answer
    x = 37,301.40

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