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Finding the Fourth Proportional to 46,970.78, 70,463.45 and 15,803.60

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Solution

The fourth proportional to 46,970.78, 70,463.45 and 15,803.60 is: 23,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970.78 : 70,463.45 = 15,803.60 : x
  2. Step 2: Convert to fraction form
    46,970.78/70,463.45 = 15,803.60/x
  3. Step 3: Cross multiply
    46,970.78x = 70,463.45 × 15,803.60
  4. Step 4: Simplify right side
    46,970.78x = 1,113,575,865.61
  5. Step 5: Solve for x
    x = 1,113,575,865.61/46,970.78
  6. Step 6: Final answer
    x = 23,707.85

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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.