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Finding the Fourth Proportional to 30,534.52, 45,742.14 and 21,045.14

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Solution

The fourth proportional to 30,534.52, 45,742.14 and 21,045.14 is: 31,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.52 : 45,742.14 = 21,045.14 : x
  2. Step 2: Convert to fraction form
    30,534.52/45,742.14 = 21,045.14/x
  3. Step 3: Cross multiply
    30,534.52x = 45,742.14 × 21,045.14
  4. Step 4: Simplify right side
    30,534.52x = 962,649,740.20
  5. Step 5: Solve for x
    x = 962,649,740.20/30,534.52
  6. Step 6: Final answer
    x = 31,526.60

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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.