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Finding the Fourth Proportional to 31,004.10, 42,801.48 and 20,985.48

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Solution

The fourth proportional to 31,004.10, 42,801.48 and 20,985.48 is: 28,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.10 : 42,801.48 = 20,985.48 : x
  2. Step 2: Convert to fraction form
    31,004.10/42,801.48 = 20,985.48/x
  3. Step 3: Cross multiply
    31,004.10x = 42,801.48 × 20,985.48
  4. Step 4: Simplify right side
    31,004.10x = 898,209,602.51
  5. Step 5: Solve for x
    x = 898,209,602.51/31,004.10
  6. Step 6: Final answer
    x = 28,970.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.