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Finding the Fourth Proportional to 99,713.84, 149,570.35 and 40,549.01

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Solution

The fourth proportional to 99,713.84, 149,570.35 and 40,549.01 is: 60,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.84 : 149,570.35 = 40,549.01 : x
  2. Step 2: Convert to fraction form
    99,713.84/149,570.35 = 40,549.01/x
  3. Step 3: Cross multiply
    99,713.84x = 149,570.35 × 40,549.01
  4. Step 4: Simplify right side
    99,713.84x = 6,064,928,768.63
  5. Step 5: Solve for x
    x = 6,064,928,768.63/99,713.84
  6. Step 6: Final answer
    x = 60,823.34

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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.