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Finding the Fourth Proportional to 51,436.88, 70,981.76 and 28,466

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Solution

The fourth proportional to 51,436.88, 70,981.76 and 28,466 is: 39,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,436.88 : 70,981.76 = 28,466 : x
  2. Step 2: Convert to fraction form
    51,436.88/70,981.76 = 28,466/x
  3. Step 3: Cross multiply
    51,436.88x = 70,981.76 × 28,466
  4. Step 4: Simplify right side
    51,436.88x = 2,020,566,780.16
  5. Step 5: Solve for x
    x = 2,020,566,780.16/51,436.88
  6. Step 6: Final answer
    x = 39,282.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.