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Finding the Fourth Proportional to 97,482.42, 134,533.98 and 55,048.68

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Solution

The fourth proportional to 97,482.42, 134,533.98 and 55,048.68 is: 75,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.42 : 134,533.98 = 55,048.68 : x
  2. Step 2: Convert to fraction form
    97,482.42/134,533.98 = 55,048.68/x
  3. Step 3: Cross multiply
    97,482.42x = 134,533.98 × 55,048.68
  4. Step 4: Simplify right side
    97,482.42x = 7,405,918,014.15
  5. Step 5: Solve for x
    x = 7,405,918,014.15/97,482.42
  6. Step 6: Final answer
    x = 75,971.83

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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.