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Finding the Fourth Proportional to 80,036.51, 120,075.52 and 42,565.77

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Solution

The fourth proportional to 80,036.51, 120,075.52 and 42,565.77 is: 63,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,036.51 : 120,075.52 = 42,565.77 : x
  2. Step 2: Convert to fraction form
    80,036.51/120,075.52 = 42,565.77/x
  3. Step 3: Cross multiply
    80,036.51x = 120,075.52 × 42,565.77
  4. Step 4: Simplify right side
    80,036.51x = 5,111,106,153.74
  5. Step 5: Solve for x
    x = 5,111,106,153.74/80,036.51
  6. Step 6: Final answer
    x = 63,859.69

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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.