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Finding the Fourth Proportional to 32,196, 44,430.48 and 21,018

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Solution

The fourth proportional to 32,196, 44,430.48 and 21,018 is: 29,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 44,430.48 = 21,018 : x
  2. Step 2: Convert to fraction form
    32,196/44,430.48 = 21,018/x
  3. Step 3: Cross multiply
    32,196x = 44,430.48 × 21,018
  4. Step 4: Simplify right side
    32,196x = 933,839,828.64
  5. Step 5: Solve for x
    x = 933,839,828.64/32,196
  6. Step 6: Final answer
    x = 29,004.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.