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Finding the Fourth Proportional to 75,804.93, 113,707.71 and 19,641.06

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Solution

The fourth proportional to 75,804.93, 113,707.71 and 19,641.06 is: 29,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804.93 : 113,707.71 = 19,641.06 : x
  2. Step 2: Convert to fraction form
    75,804.93/113,707.71 = 19,641.06/x
  3. Step 3: Cross multiply
    75,804.93x = 113,707.71 × 19,641.06
  4. Step 4: Simplify right side
    75,804.93x = 2,233,339,954.57
  5. Step 5: Solve for x
    x = 2,233,339,954.57/75,804.93
  6. Step 6: Final answer
    x = 29,461.67

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1.5x scale

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.