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Finding the Fourth Proportional to 46,952, 70,428.40 and 11,891.68

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Solution

The fourth proportional to 46,952, 70,428.40 and 11,891.68 is: 17,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952 : 70,428.40 = 11,891.68 : x
  2. Step 2: Convert to fraction form
    46,952/70,428.40 = 11,891.68/x
  3. Step 3: Cross multiply
    46,952x = 70,428.40 × 11,891.68
  4. Step 4: Simplify right side
    46,952x = 837,511,995.71
  5. Step 5: Solve for x
    x = 837,511,995.71/46,952
  6. Step 6: Final answer
    x = 17,837.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.