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Finding the Fourth Proportional to 31,547.60, 47,289.48 and 20,461.32

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Solution

The fourth proportional to 31,547.60, 47,289.48 and 20,461.32 is: 30,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.60 : 47,289.48 = 20,461.32 : x
  2. Step 2: Convert to fraction form
    31,547.60/47,289.48 = 20,461.32/x
  3. Step 3: Cross multiply
    31,547.60x = 47,289.48 × 20,461.32
  4. Step 4: Simplify right side
    31,547.60x = 967,605,182.91
  5. Step 5: Solve for x
    x = 967,605,182.91/31,547.60
  6. Step 6: Final answer
    x = 30,671.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.