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Finding the Fourth Proportional to 92,551.40, 138,827.10 and 22,430.71

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Solution

The fourth proportional to 92,551.40, 138,827.10 and 22,430.71 is: 33,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,551.40 : 138,827.10 = 22,430.71 : x
  2. Step 2: Convert to fraction form
    92,551.40/138,827.10 = 22,430.71/x
  3. Step 3: Cross multiply
    92,551.40x = 138,827.10 × 22,430.71
  4. Step 4: Simplify right side
    92,551.40x = 3,113,990,017.10
  5. Step 5: Solve for x
    x = 3,113,990,017.10/92,551.40
  6. Step 6: Final answer
    x = 33,646.06

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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.