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Finding the Fourth Proportional to 97,276.65, 145,980.60 and 38,104.93

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Solution

The fourth proportional to 97,276.65, 145,980.60 and 38,104.93 is: 57,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,276.65 : 145,980.60 = 38,104.93 : x
  2. Step 2: Convert to fraction form
    97,276.65/145,980.60 = 38,104.93/x
  3. Step 3: Cross multiply
    97,276.65x = 145,980.60 × 38,104.93
  4. Step 4: Simplify right side
    97,276.65x = 5,562,580,544.36
  5. Step 5: Solve for x
    x = 5,562,580,544.36/97,276.65
  6. Step 6: Final answer
    x = 57,183.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.