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Finding the Fourth Proportional to 97,272, 134,235.36 and 52,560

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Solution

The fourth proportional to 97,272, 134,235.36 and 52,560 is: 72,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 134,235.36 = 52,560 : x
  2. Step 2: Convert to fraction form
    97,272/134,235.36 = 52,560/x
  3. Step 3: Cross multiply
    97,272x = 134,235.36 × 52,560
  4. Step 4: Simplify right side
    97,272x = 7,055,410,521.60
  5. Step 5: Solve for x
    x = 7,055,410,521.60/97,272
  6. Step 6: Final answer
    x = 72,532.80

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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.