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Finding the Fourth Proportional to 52,498, 78,783.48 and 21,333.28

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Solution

The fourth proportional to 52,498, 78,783.48 and 21,333.28 is: 32,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498 : 78,783.48 = 21,333.28 : x
  2. Step 2: Convert to fraction form
    52,498/78,783.48 = 21,333.28/x
  3. Step 3: Cross multiply
    52,498x = 78,783.48 × 21,333.28
  4. Step 4: Simplify right side
    52,498x = 1,680,710,038.21
  5. Step 5: Solve for x
    x = 1,680,710,038.21/52,498
  6. Step 6: Final answer
    x = 32,014.74

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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.