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Finding the Fourth Proportional to 102,473.46, 153,728.64 and 46,339.92

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Solution

The fourth proportional to 102,473.46, 153,728.64 and 46,339.92 is: 69,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,473.46 : 153,728.64 = 46,339.92 : x
  2. Step 2: Convert to fraction form
    102,473.46/153,728.64 = 46,339.92/x
  3. Step 3: Cross multiply
    102,473.46x = 153,728.64 × 46,339.92
  4. Step 4: Simplify right side
    102,473.46x = 7,123,772,879.31
  5. Step 5: Solve for x
    x = 7,123,772,879.31/102,473.46
  6. Step 6: Final answer
    x = 69,518.22

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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.