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Finding the Fourth Proportional to 32,242, 48,373.80 and 29,136.40

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Solution

The fourth proportional to 32,242, 48,373.80 and 29,136.40 is: 43,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242 : 48,373.80 = 29,136.40 : x
  2. Step 2: Convert to fraction form
    32,242/48,373.80 = 29,136.40/x
  3. Step 3: Cross multiply
    32,242x = 48,373.80 × 29,136.40
  4. Step 4: Simplify right side
    32,242x = 1,409,438,386.32
  5. Step 5: Solve for x
    x = 1,409,438,386.32/32,242
  6. Step 6: Final answer
    x = 43,714.36

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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.