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Finding the Fourth Proportional to 97,157.81, 145,467.61 and 49,670.68

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Solution

The fourth proportional to 97,157.81, 145,467.61 and 49,670.68 is: 74,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,157.81 : 145,467.61 = 49,670.68 : x
  2. Step 2: Convert to fraction form
    97,157.81/145,467.61 = 49,670.68/x
  3. Step 3: Cross multiply
    97,157.81x = 145,467.61 × 49,670.68
  4. Step 4: Simplify right side
    97,157.81x = 7,225,475,106.67
  5. Step 5: Solve for x
    x = 7,225,475,106.67/97,157.81
  6. Step 6: Final answer
    x = 74,368.44

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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.