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Finding the Fourth Proportional to 56,362.12, 84,547.98 and 14,809

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Solution

The fourth proportional to 56,362.12, 84,547.98 and 14,809 is: 22,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,362.12 : 84,547.98 = 14,809 : x
  2. Step 2: Convert to fraction form
    56,362.12/84,547.98 = 14,809/x
  3. Step 3: Cross multiply
    56,362.12x = 84,547.98 × 14,809
  4. Step 4: Simplify right side
    56,362.12x = 1,252,071,035.82
  5. Step 5: Solve for x
    x = 1,252,071,035.82/56,362.12
  6. Step 6: Final answer
    x = 22,214.76

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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.