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Finding the Fourth Proportional to 35,462.44, 48,938.49 and 19,547.46

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Solution

The fourth proportional to 35,462.44, 48,938.49 and 19,547.46 is: 26,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.44 : 48,938.49 = 19,547.46 : x
  2. Step 2: Convert to fraction form
    35,462.44/48,938.49 = 19,547.46/x
  3. Step 3: Cross multiply
    35,462.44x = 48,938.49 × 19,547.46
  4. Step 4: Simplify right side
    35,462.44x = 956,622,931.04
  5. Step 5: Solve for x
    x = 956,622,931.04/35,462.44
  6. Step 6: Final answer
    x = 26,975.67

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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.