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Finding the Fourth Proportional to 130,022.47, 195,023.98 and 46,916.47

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Solution

The fourth proportional to 130,022.47, 195,023.98 and 46,916.47 is: 70,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,022.47 : 195,023.98 = 46,916.47 : x
  2. Step 2: Convert to fraction form
    130,022.47/195,023.98 = 46,916.47/x
  3. Step 3: Cross multiply
    130,022.47x = 195,023.98 × 46,916.47
  4. Step 4: Simplify right side
    130,022.47x = 9,149,836,706.95
  5. Step 5: Solve for x
    x = 9,149,836,706.95/130,022.47
  6. Step 6: Final answer
    x = 70,371.20

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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.