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Finding the Fourth Proportional to 55,894.16, 77,139.60 and 32,024

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Solution

The fourth proportional to 55,894.16, 77,139.60 and 32,024 is: 44,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.16 : 77,139.60 = 32,024 : x
  2. Step 2: Convert to fraction form
    55,894.16/77,139.60 = 32,024/x
  3. Step 3: Cross multiply
    55,894.16x = 77,139.60 × 32,024
  4. Step 4: Simplify right side
    55,894.16x = 2,470,318,550.40
  5. Step 5: Solve for x
    x = 2,470,318,550.40/55,894.16
  6. Step 6: Final answer
    x = 44,196.36

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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.