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Finding the Fourth Proportional to 42,970.36, 64,474.02 and 23,263

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Solution

The fourth proportional to 42,970.36, 64,474.02 and 23,263 is: 34,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.36 : 64,474.02 = 23,263 : x
  2. Step 2: Convert to fraction form
    42,970.36/64,474.02 = 23,263/x
  3. Step 3: Cross multiply
    42,970.36x = 64,474.02 × 23,263
  4. Step 4: Simplify right side
    42,970.36x = 1,499,859,127.26
  5. Step 5: Solve for x
    x = 1,499,859,127.26/42,970.36
  6. Step 6: Final answer
    x = 34,904.50

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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.