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Finding the Fourth Proportional to 46,508.64, 64,188 and 26,368.80

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Solution

The fourth proportional to 46,508.64, 64,188 and 26,368.80 is: 36,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.64 : 64,188 = 26,368.80 : x
  2. Step 2: Convert to fraction form
    46,508.64/64,188 = 26,368.80/x
  3. Step 3: Cross multiply
    46,508.64x = 64,188 × 26,368.80
  4. Step 4: Simplify right side
    46,508.64x = 1,692,560,534.40
  5. Step 5: Solve for x
    x = 1,692,560,534.40/46,508.64
  6. Step 6: Final answer
    x = 36,392.39

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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.