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Finding the Fourth Proportional to 82,806.08, 114,252.96 and 46,988

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Solution

The fourth proportional to 82,806.08, 114,252.96 and 46,988 is: 64,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.08 : 114,252.96 = 46,988 : x
  2. Step 2: Convert to fraction form
    82,806.08/114,252.96 = 46,988/x
  3. Step 3: Cross multiply
    82,806.08x = 114,252.96 × 46,988
  4. Step 4: Simplify right side
    82,806.08x = 5,368,518,084.48
  5. Step 5: Solve for x
    x = 5,368,518,084.48/82,806.08
  6. Step 6: Final answer
    x = 64,832.41

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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.