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Finding the Fourth Proportional to 32,897.40, 49,346.10 and 30,564.60

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Solution

The fourth proportional to 32,897.40, 49,346.10 and 30,564.60 is: 45,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.40 : 49,346.10 = 30,564.60 : x
  2. Step 2: Convert to fraction form
    32,897.40/49,346.10 = 30,564.60/x
  3. Step 3: Cross multiply
    32,897.40x = 49,346.10 × 30,564.60
  4. Step 4: Simplify right side
    32,897.40x = 1,508,243,808.06
  5. Step 5: Solve for x
    x = 1,508,243,808.06/32,897.40
  6. Step 6: Final answer
    x = 45,846.90

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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.