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Finding the Fourth Proportional to 55,340.61, 83,005.77 and 22,051.77

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Solution

The fourth proportional to 55,340.61, 83,005.77 and 22,051.77 is: 33,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,340.61 : 83,005.77 = 22,051.77 : x
  2. Step 2: Convert to fraction form
    55,340.61/83,005.77 = 22,051.77/x
  3. Step 3: Cross multiply
    55,340.61x = 83,005.77 × 22,051.77
  4. Step 4: Simplify right side
    55,340.61x = 1,830,424,148.71
  5. Step 5: Solve for x
    x = 1,830,424,148.71/55,340.61
  6. Step 6: Final answer
    x = 33,075.60

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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.