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Finding the Fourth Proportional to 97,594.40, 146,416 and 45,040.64

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Solution

The fourth proportional to 97,594.40, 146,416 and 45,040.64 is: 67,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594.40 : 146,416 = 45,040.64 : x
  2. Step 2: Convert to fraction form
    97,594.40/146,416 = 45,040.64/x
  3. Step 3: Cross multiply
    97,594.40x = 146,416 × 45,040.64
  4. Step 4: Simplify right side
    97,594.40x = 6,594,670,346.24
  5. Step 5: Solve for x
    x = 6,594,670,346.24/97,594.40
  6. Step 6: Final answer
    x = 67,572.22

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