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Finding the Fourth Proportional to 55,638.90, 83,643.03 and 51,529.77

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Solution

The fourth proportional to 55,638.90, 83,643.03 and 51,529.77 is: 77,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638.90 : 83,643.03 = 51,529.77 : x
  2. Step 2: Convert to fraction form
    55,638.90/83,643.03 = 51,529.77/x
  3. Step 3: Cross multiply
    55,638.90x = 83,643.03 × 51,529.77
  4. Step 4: Simplify right side
    55,638.90x = 4,310,106,098.00
  5. Step 5: Solve for x
    x = 4,310,106,098.00/55,638.90
  6. Step 6: Final answer
    x = 77,465.70

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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.