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Finding the Fourth Proportional to 106,298, 159,437.16 and 32,426

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Solution

The fourth proportional to 106,298, 159,437.16 and 32,426 is: 48,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298 : 159,437.16 = 32,426 : x
  2. Step 2: Convert to fraction form
    106,298/159,437.16 = 32,426/x
  3. Step 3: Cross multiply
    106,298x = 159,437.16 × 32,426
  4. Step 4: Simplify right side
    106,298x = 5,169,909,350.16
  5. Step 5: Solve for x
    x = 5,169,909,350.16/106,298
  6. Step 6: Final answer
    x = 48,636.00

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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.