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Finding the Fourth Proportional to 77,128.98, 106,445.84 and 46,916.39

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Solution

The fourth proportional to 77,128.98, 106,445.84 and 46,916.39 is: 64,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128.98 : 106,445.84 = 46,916.39 : x
  2. Step 2: Convert to fraction form
    77,128.98/106,445.84 = 46,916.39/x
  3. Step 3: Cross multiply
    77,128.98x = 106,445.84 × 46,916.39
  4. Step 4: Simplify right side
    77,128.98x = 4,994,053,776.51
  5. Step 5: Solve for x
    x = 4,994,053,776.51/77,128.98
  6. Step 6: Final answer
    x = 64,749.38

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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.