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Finding the Fourth Proportional to 96,377.70, 144,483.39 and 46,389

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Solution

The fourth proportional to 96,377.70, 144,483.39 and 46,389 is: 69,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,377.70 : 144,483.39 = 46,389 : x
  2. Step 2: Convert to fraction form
    96,377.70/144,483.39 = 46,389/x
  3. Step 3: Cross multiply
    96,377.70x = 144,483.39 × 46,389
  4. Step 4: Simplify right side
    96,377.70x = 6,702,439,978.71
  5. Step 5: Solve for x
    x = 6,702,439,978.71/96,377.70
  6. Step 6: Final answer
    x = 69,543.47

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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.