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Finding the Fourth Proportional to 96,243.24, 144,364.86 and 46,953

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Solution

The fourth proportional to 96,243.24, 144,364.86 and 46,953 is: 70,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,243.24 : 144,364.86 = 46,953 : x
  2. Step 2: Convert to fraction form
    96,243.24/144,364.86 = 46,953/x
  3. Step 3: Cross multiply
    96,243.24x = 144,364.86 × 46,953
  4. Step 4: Simplify right side
    96,243.24x = 6,778,363,271.58
  5. Step 5: Solve for x
    x = 6,778,363,271.58/96,243.24
  6. Step 6: Final answer
    x = 70,429.50

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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.