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Finding the Fourth Proportional to 47,364.98, 65,368.77 and 35,407.76

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Solution

The fourth proportional to 47,364.98, 65,368.77 and 35,407.76 is: 48,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.98 : 65,368.77 = 35,407.76 : x
  2. Step 2: Convert to fraction form
    47,364.98/65,368.77 = 35,407.76/x
  3. Step 3: Cross multiply
    47,364.98x = 65,368.77 × 35,407.76
  4. Step 4: Simplify right side
    47,364.98x = 2,314,561,719.66
  5. Step 5: Solve for x
    x = 2,314,561,719.66/47,364.98
  6. Step 6: Final answer
    x = 48,866.52

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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.