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Finding the Fourth Proportional to 35,618.69, 53,408.29 and 14,573.50

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Solution

The fourth proportional to 35,618.69, 53,408.29 and 14,573.50 is: 21,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,618.69 : 53,408.29 = 14,573.50 : x
  2. Step 2: Convert to fraction form
    35,618.69/53,408.29 = 14,573.50/x
  3. Step 3: Cross multiply
    35,618.69x = 53,408.29 × 14,573.50
  4. Step 4: Simplify right side
    35,618.69x = 778,345,714.32
  5. Step 5: Solve for x
    x = 778,345,714.32/35,618.69
  6. Step 6: Final answer
    x = 21,852.17

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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.