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Finding the Fourth Proportional to 46,898.14, 64,719.01 and 25,387.78

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Solution

The fourth proportional to 46,898.14, 64,719.01 and 25,387.78 is: 35,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898.14 : 64,719.01 = 25,387.78 : x
  2. Step 2: Convert to fraction form
    46,898.14/64,719.01 = 25,387.78/x
  3. Step 3: Cross multiply
    46,898.14x = 64,719.01 × 25,387.78
  4. Step 4: Simplify right side
    46,898.14x = 1,643,071,987.70
  5. Step 5: Solve for x
    x = 1,643,071,987.70/46,898.14
  6. Step 6: Final answer
    x = 35,034.91

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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.