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Finding the Fourth Proportional to 45,803, 63,208.14 and 25,931

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Solution

The fourth proportional to 45,803, 63,208.14 and 25,931 is: 35,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,803 : 63,208.14 = 25,931 : x
  2. Step 2: Convert to fraction form
    45,803/63,208.14 = 25,931/x
  3. Step 3: Cross multiply
    45,803x = 63,208.14 × 25,931
  4. Step 4: Simplify right side
    45,803x = 1,639,050,278.34
  5. Step 5: Solve for x
    x = 1,639,050,278.34/45,803
  6. Step 6: Final answer
    x = 35,784.78

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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.