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Finding the Fourth Proportional to 47,578.32, 65,658.64 and 26,358

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Solution

The fourth proportional to 47,578.32, 65,658.64 and 26,358 is: 36,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.32 : 65,658.64 = 26,358 : x
  2. Step 2: Convert to fraction form
    47,578.32/65,658.64 = 26,358/x
  3. Step 3: Cross multiply
    47,578.32x = 65,658.64 × 26,358
  4. Step 4: Simplify right side
    47,578.32x = 1,730,630,433.12
  5. Step 5: Solve for x
    x = 1,730,630,433.12/47,578.32
  6. Step 6: Final answer
    x = 36,374.35

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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.