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Finding the Fourth Proportional to 30,543.70, 42,170.61 and 23,457.46

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Solution

The fourth proportional to 30,543.70, 42,170.61 and 23,457.46 is: 32,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.70 : 42,170.61 = 23,457.46 : x
  2. Step 2: Convert to fraction form
    30,543.70/42,170.61 = 23,457.46/x
  3. Step 3: Cross multiply
    30,543.70x = 42,170.61 × 23,457.46
  4. Step 4: Simplify right side
    30,543.70x = 989,215,397.25
  5. Step 5: Solve for x
    x = 989,215,397.25/30,543.70
  6. Step 6: Final answer
    x = 32,386.89

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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.