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Finding the Fourth Proportional to 162,275.84, 243,436.80 and 49,965.39

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Solution

The fourth proportional to 162,275.84, 243,436.80 and 49,965.39 is: 74,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,275.84 : 243,436.80 = 49,965.39 : x
  2. Step 2: Convert to fraction form
    162,275.84/243,436.80 = 49,965.39/x
  3. Step 3: Cross multiply
    162,275.84x = 243,436.80 × 49,965.39
  4. Step 4: Simplify right side
    162,275.84x = 12,163,414,652.35
  5. Step 5: Solve for x
    x = 12,163,414,652.35/162,275.84
  6. Step 6: Final answer
    x = 74,955.18

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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.