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Finding the Fourth Proportional to 92,547.12, 138,821.04 and 22,426.32

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Solution

The fourth proportional to 92,547.12, 138,821.04 and 22,426.32 is: 33,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,547.12 : 138,821.04 = 22,426.32 : x
  2. Step 2: Convert to fraction form
    92,547.12/138,821.04 = 22,426.32/x
  3. Step 3: Cross multiply
    92,547.12x = 138,821.04 × 22,426.32
  4. Step 4: Simplify right side
    92,547.12x = 3,113,245,065.77
  5. Step 5: Solve for x
    x = 3,113,245,065.77/92,547.12
  6. Step 6: Final answer
    x = 33,639.57

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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.