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Finding the Fourth Proportional to 85,496.40, 128,244.24 and 26,316

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Solution

The fourth proportional to 85,496.40, 128,244.24 and 26,316 is: 39,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,496.40 : 128,244.24 = 26,316 : x
  2. Step 2: Convert to fraction form
    85,496.40/128,244.24 = 26,316/x
  3. Step 3: Cross multiply
    85,496.40x = 128,244.24 × 26,316
  4. Step 4: Simplify right side
    85,496.40x = 3,374,875,419.84
  5. Step 5: Solve for x
    x = 3,374,875,419.84/85,496.40
  6. Step 6: Final answer
    x = 39,473.89

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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.