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Finding the Fourth Proportional to 97,560, 134,632.84 and 52,848

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Solution

The fourth proportional to 97,560, 134,632.84 and 52,848 is: 72,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,560 : 134,632.84 = 52,848 : x
  2. Step 2: Convert to fraction form
    97,560/134,632.84 = 52,848/x
  3. Step 3: Cross multiply
    97,560x = 134,632.84 × 52,848
  4. Step 4: Simplify right side
    97,560x = 7,115,076,328.32
  5. Step 5: Solve for x
    x = 7,115,076,328.32/97,560
  6. Step 6: Final answer
    x = 72,930.26

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