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Finding the Fourth Proportional to 52,133.12, 77,818.15 and 44,784.80

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Solution

The fourth proportional to 52,133.12, 77,818.15 and 44,784.80 is: 66,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133.12 : 77,818.15 = 44,784.80 : x
  2. Step 2: Convert to fraction form
    52,133.12/77,818.15 = 44,784.80/x
  3. Step 3: Cross multiply
    52,133.12x = 77,818.15 × 44,784.80
  4. Step 4: Simplify right side
    52,133.12x = 3,485,070,284.12
  5. Step 5: Solve for x
    x = 3,485,070,284.12/52,133.12
  6. Step 6: Final answer
    x = 66,849.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.