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Finding the Fourth Proportional to 56,046, 84,069.36 and 14,493.36

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Solution

The fourth proportional to 56,046, 84,069.36 and 14,493.36 is: 21,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046 : 84,069.36 = 14,493.36 : x
  2. Step 2: Convert to fraction form
    56,046/84,069.36 = 14,493.36/x
  3. Step 3: Cross multiply
    56,046x = 84,069.36 × 14,493.36
  4. Step 4: Simplify right side
    56,046x = 1,218,447,499.45
  5. Step 5: Solve for x
    x = 1,218,447,499.45/56,046
  6. Step 6: Final answer
    x = 21,740.13

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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.