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Finding the Fourth Proportional to 99,430.84, 149,113.86 and 32,858.56

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Solution

The fourth proportional to 99,430.84, 149,113.86 and 32,858.56 is: 49,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,430.84 : 149,113.86 = 32,858.56 : x
  2. Step 2: Convert to fraction form
    99,430.84/149,113.86 = 32,858.56/x
  3. Step 3: Cross multiply
    99,430.84x = 149,113.86 × 32,858.56
  4. Step 4: Simplify right side
    99,430.84x = 4,899,666,551.35
  5. Step 5: Solve for x
    x = 4,899,666,551.35/99,430.84
  6. Step 6: Final answer
    x = 49,277.13

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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.