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Finding the Fourth Proportional to 46,977.90, 64,832.50 and 31,034.40

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Solution

The fourth proportional to 46,977.90, 64,832.50 and 31,034.40 is: 42,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977.90 : 64,832.50 = 31,034.40 : x
  2. Step 2: Convert to fraction form
    46,977.90/64,832.50 = 31,034.40/x
  3. Step 3: Cross multiply
    46,977.90x = 64,832.50 × 31,034.40
  4. Step 4: Simplify right side
    46,977.90x = 2,012,037,738
  5. Step 5: Solve for x
    x = 2,012,037,738/46,977.90
  6. Step 6: Final answer
    x = 42,829.45

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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.