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Finding the Fourth Proportional to 52,655.84, 78,984.12 and 21,068.56

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Solution

The fourth proportional to 52,655.84, 78,984.12 and 21,068.56 is: 31,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.84 : 78,984.12 = 21,068.56 : x
  2. Step 2: Convert to fraction form
    52,655.84/78,984.12 = 21,068.56/x
  3. Step 3: Cross multiply
    52,655.84x = 78,984.12 × 21,068.56
  4. Step 4: Simplify right side
    52,655.84x = 1,664,081,671.27
  5. Step 5: Solve for x
    x = 1,664,081,671.27/52,655.84
  6. Step 6: Final answer
    x = 31,602.98

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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.