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Finding the Fourth Proportional to 92,428.68, 138,643.08 and 22,308

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Solution

The fourth proportional to 92,428.68, 138,643.08 and 22,308 is: 33,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,428.68 : 138,643.08 = 22,308 : x
  2. Step 2: Convert to fraction form
    92,428.68/138,643.08 = 22,308/x
  3. Step 3: Cross multiply
    92,428.68x = 138,643.08 × 22,308
  4. Step 4: Simplify right side
    92,428.68x = 3,092,849,828.64
  5. Step 5: Solve for x
    x = 3,092,849,828.64/92,428.68
  6. Step 6: Final answer
    x = 33,462.01

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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.