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Finding the Fourth Proportional to 40,971, 61,457.94 and 23,432.76

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Solution

The fourth proportional to 40,971, 61,457.94 and 23,432.76 is: 35,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971 : 61,457.94 = 23,432.76 : x
  2. Step 2: Convert to fraction form
    40,971/61,457.94 = 23,432.76/x
  3. Step 3: Cross multiply
    40,971x = 61,457.94 × 23,432.76
  4. Step 4: Simplify right side
    40,971x = 1,440,129,158.11
  5. Step 5: Solve for x
    x = 1,440,129,158.11/40,971
  6. Step 6: Final answer
    x = 35,149.96

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1.5x scale

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.