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Finding the Fourth Proportional to 77,070.87, 106,345.44 and 46,840.05

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Solution

The fourth proportional to 77,070.87, 106,345.44 and 46,840.05 is: 64,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070.87 : 106,345.44 = 46,840.05 : x
  2. Step 2: Convert to fraction form
    77,070.87/106,345.44 = 46,840.05/x
  3. Step 3: Cross multiply
    77,070.87x = 106,345.44 × 46,840.05
  4. Step 4: Simplify right side
    77,070.87x = 4,981,225,726.87
  5. Step 5: Solve for x
    x = 4,981,225,726.87/77,070.87
  6. Step 6: Final answer
    x = 64,631.76

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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.