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Finding the Fourth Proportional to 32,009.31, 47,968.14 and 23,509.11

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Solution

The fourth proportional to 32,009.31, 47,968.14 and 23,509.11 is: 35,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.31 : 47,968.14 = 23,509.11 : x
  2. Step 2: Convert to fraction form
    32,009.31/47,968.14 = 23,509.11/x
  3. Step 3: Cross multiply
    32,009.31x = 47,968.14 × 23,509.11
  4. Step 4: Simplify right side
    32,009.31x = 1,127,688,279.76
  5. Step 5: Solve for x
    x = 1,127,688,279.76/32,009.31
  6. Step 6: Final answer
    x = 35,230.01

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1.5x scale

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.