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Finding the Fourth Proportional to 46,980.95, 70,460.49 and 21,997.22

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Solution

The fourth proportional to 46,980.95, 70,460.49 and 21,997.22 is: 32,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980.95 : 70,460.49 = 21,997.22 : x
  2. Step 2: Convert to fraction form
    46,980.95/70,460.49 = 21,997.22/x
  3. Step 3: Cross multiply
    46,980.95x = 70,460.49 × 21,997.22
  4. Step 4: Simplify right side
    46,980.95x = 1,549,934,547.54
  5. Step 5: Solve for x
    x = 1,549,934,547.54/46,980.95
  6. Step 6: Final answer
    x = 32,990.70

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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.