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Finding the Fourth Proportional to 99,549.84, 137,378.76 and 54,837.84

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Solution

The fourth proportional to 99,549.84, 137,378.76 and 54,837.84 is: 75,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,549.84 : 137,378.76 = 54,837.84 : x
  2. Step 2: Convert to fraction form
    99,549.84/137,378.76 = 54,837.84/x
  3. Step 3: Cross multiply
    99,549.84x = 137,378.76 × 54,837.84
  4. Step 4: Simplify right side
    99,549.84x = 7,533,554,460.28
  5. Step 5: Solve for x
    x = 7,533,554,460.28/99,549.84
  6. Step 6: Final answer
    x = 75,676.21

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1.5x scale

Why These Related Problems?

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