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Finding the Fourth Proportional to 47,578.40, 65,658.72 and 26,358

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Solution

The fourth proportional to 47,578.40, 65,658.72 and 26,358 is: 36,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.40 : 65,658.72 = 26,358 : x
  2. Step 2: Convert to fraction form
    47,578.40/65,658.72 = 26,358/x
  3. Step 3: Cross multiply
    47,578.40x = 65,658.72 × 26,358
  4. Step 4: Simplify right side
    47,578.40x = 1,730,632,541.76
  5. Step 5: Solve for x
    x = 1,730,632,541.76/47,578.40
  6. Step 6: Final answer
    x = 36,374.33

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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.