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Finding the Fourth Proportional to 46,437.84, 69,656.76 and 32,648.40

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Solution

The fourth proportional to 46,437.84, 69,656.76 and 32,648.40 is: 48,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,437.84 : 69,656.76 = 32,648.40 : x
  2. Step 2: Convert to fraction form
    46,437.84/69,656.76 = 32,648.40/x
  3. Step 3: Cross multiply
    46,437.84x = 69,656.76 × 32,648.40
  4. Step 4: Simplify right side
    46,437.84x = 2,274,181,763.18
  5. Step 5: Solve for x
    x = 2,274,181,763.18/46,437.84
  6. Step 6: Final answer
    x = 48,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.