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Finding the Fourth Proportional to 55,907.86, 83,832.83 and 16,459.78

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Solution

The fourth proportional to 55,907.86, 83,832.83 and 16,459.78 is: 24,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,907.86 : 83,832.83 = 16,459.78 : x
  2. Step 2: Convert to fraction form
    55,907.86/83,832.83 = 16,459.78/x
  3. Step 3: Cross multiply
    55,907.86x = 83,832.83 × 16,459.78
  4. Step 4: Simplify right side
    55,907.86x = 1,379,869,437.11
  5. Step 5: Solve for x
    x = 1,379,869,437.11/55,907.86
  6. Step 6: Final answer
    x = 24,681.14

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1.5x scale

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.