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Finding the Fourth Proportional to 97,567.32, 146,314.26 and 38,370.63

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Solution

The fourth proportional to 97,567.32, 146,314.26 and 38,370.63 is: 57,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,567.32 : 146,314.26 = 38,370.63 : x
  2. Step 2: Convert to fraction form
    97,567.32/146,314.26 = 38,370.63/x
  3. Step 3: Cross multiply
    97,567.32x = 146,314.26 × 38,370.63
  4. Step 4: Simplify right side
    97,567.32x = 5,614,170,334.18
  5. Step 5: Solve for x
    x = 5,614,170,334.18/97,567.32
  6. Step 6: Final answer
    x = 57,541.50

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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.