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Finding the Fourth Proportional to 46,975.76, 70,474.04 and 15,810

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Solution

The fourth proportional to 46,975.76, 70,474.04 and 15,810 is: 23,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,975.76 : 70,474.04 = 15,810 : x
  2. Step 2: Convert to fraction form
    46,975.76/70,474.04 = 15,810/x
  3. Step 3: Cross multiply
    46,975.76x = 70,474.04 × 15,810
  4. Step 4: Simplify right side
    46,975.76x = 1,114,194,572.40
  5. Step 5: Solve for x
    x = 1,114,194,572.40/46,975.76
  6. Step 6: Final answer
    x = 23,718.50

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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.