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Finding the Fourth Proportional to 85,646.34, 128,473.02 and 23,316.84

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Solution

The fourth proportional to 85,646.34, 128,473.02 and 23,316.84 is: 34,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,646.34 : 128,473.02 = 23,316.84 : x
  2. Step 2: Convert to fraction form
    85,646.34/128,473.02 = 23,316.84/x
  3. Step 3: Cross multiply
    85,646.34x = 128,473.02 × 23,316.84
  4. Step 4: Simplify right side
    85,646.34x = 2,995,584,851.66
  5. Step 5: Solve for x
    x = 2,995,584,851.66/85,646.34
  6. Step 6: Final answer
    x = 34,976.22

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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.