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Finding the Fourth Proportional to 70,372.32, 97,130.40 and 46,500

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Solution

The fourth proportional to 70,372.32, 97,130.40 and 46,500 is: 64,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,372.32 : 97,130.40 = 46,500 : x
  2. Step 2: Convert to fraction form
    70,372.32/97,130.40 = 46,500/x
  3. Step 3: Cross multiply
    70,372.32x = 97,130.40 × 46,500
  4. Step 4: Simplify right side
    70,372.32x = 4,516,563,600
  5. Step 5: Solve for x
    x = 4,516,563,600/70,372.32
  6. Step 6: Final answer
    x = 64,180.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.