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Finding the Fourth Proportional to 52,533, 78,799.32 and 13,090.14

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Solution

The fourth proportional to 52,533, 78,799.32 and 13,090.14 is: 19,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533 : 78,799.32 = 13,090.14 : x
  2. Step 2: Convert to fraction form
    52,533/78,799.32 = 13,090.14/x
  3. Step 3: Cross multiply
    52,533x = 78,799.32 × 13,090.14
  4. Step 4: Simplify right side
    52,533x = 1,031,494,130.70
  5. Step 5: Solve for x
    x = 1,031,494,130.70/52,533
  6. Step 6: Final answer
    x = 19,635.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.