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Finding the Fourth Proportional to 32,030, 48,045 and 11,254.16

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Solution

The fourth proportional to 32,030, 48,045 and 11,254.16 is: 16,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030 : 48,045 = 11,254.16 : x
  2. Step 2: Convert to fraction form
    32,030/48,045 = 11,254.16/x
  3. Step 3: Cross multiply
    32,030x = 48,045 × 11,254.16
  4. Step 4: Simplify right side
    32,030x = 540,706,117.20
  5. Step 5: Solve for x
    x = 540,706,117.20/32,030
  6. Step 6: Final answer
    x = 16,881.24

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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.