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Finding the Fourth Proportional to 47,658.61, 65,770.63 and 28,792.09

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Solution

The fourth proportional to 47,658.61, 65,770.63 and 28,792.09 is: 39,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.61 : 65,770.63 = 28,792.09 : x
  2. Step 2: Convert to fraction form
    47,658.61/65,770.63 = 28,792.09/x
  3. Step 3: Cross multiply
    47,658.61x = 65,770.63 × 28,792.09
  4. Step 4: Simplify right side
    47,658.61x = 1,893,674,070.51
  5. Step 5: Solve for x
    x = 1,893,674,070.51/47,658.61
  6. Step 6: Final answer
    x = 39,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.