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Finding the Fourth Proportional to 65,210, 97,515.96 and 48,581.36

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Solution

The fourth proportional to 65,210, 97,515.96 and 48,581.36 is: 72,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210 : 97,515.96 = 48,581.36 : x
  2. Step 2: Convert to fraction form
    65,210/97,515.96 = 48,581.36/x
  3. Step 3: Cross multiply
    65,210x = 97,515.96 × 48,581.36
  4. Step 4: Simplify right side
    65,210x = 4,737,457,958.51
  5. Step 5: Solve for x
    x = 4,737,457,958.51/65,210
  6. Step 6: Final answer
    x = 72,649.26

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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.