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Finding the Fourth Proportional to 46,955.67, 70,456.29 and 20,657

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Solution

The fourth proportional to 46,955.67, 70,456.29 and 20,657 is: 30,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.67 : 70,456.29 = 20,657 : x
  2. Step 2: Convert to fraction form
    46,955.67/70,456.29 = 20,657/x
  3. Step 3: Cross multiply
    46,955.67x = 70,456.29 × 20,657
  4. Step 4: Simplify right side
    46,955.67x = 1,455,415,582.53
  5. Step 5: Solve for x
    x = 1,455,415,582.53/46,955.67
  6. Step 6: Final answer
    x = 30,995.52

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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.