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Finding the Fourth Proportional to 51,205.32, 70,695.54 and 39,246.12

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Solution

The fourth proportional to 51,205.32, 70,695.54 and 39,246.12 is: 54,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.32 : 70,695.54 = 39,246.12 : x
  2. Step 2: Convert to fraction form
    51,205.32/70,695.54 = 39,246.12/x
  3. Step 3: Cross multiply
    51,205.32x = 70,695.54 × 39,246.12
  4. Step 4: Simplify right side
    51,205.32x = 2,774,525,646.30
  5. Step 5: Solve for x
    x = 2,774,525,646.30/51,205.32
  6. Step 6: Final answer
    x = 54,184.32

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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.