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Finding the Fourth Proportional to 31,501, 47,251.50 and 13,033

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Solution

The fourth proportional to 31,501, 47,251.50 and 13,033 is: 19,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501 : 47,251.50 = 13,033 : x
  2. Step 2: Convert to fraction form
    31,501/47,251.50 = 13,033/x
  3. Step 3: Cross multiply
    31,501x = 47,251.50 × 13,033
  4. Step 4: Simplify right side
    31,501x = 615,828,799.50
  5. Step 5: Solve for x
    x = 615,828,799.50/31,501
  6. Step 6: Final answer
    x = 19,549.50

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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.