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Finding the Fourth Proportional to 53,132, 73,322.16 and 29,580

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Solution

The fourth proportional to 53,132, 73,322.16 and 29,580 is: 40,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,132 : 73,322.16 = 29,580 : x
  2. Step 2: Convert to fraction form
    53,132/73,322.16 = 29,580/x
  3. Step 3: Cross multiply
    53,132x = 73,322.16 × 29,580
  4. Step 4: Simplify right side
    53,132x = 2,168,869,492.80
  5. Step 5: Solve for x
    x = 2,168,869,492.80/53,132
  6. Step 6: Final answer
    x = 40,820.40

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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.