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Finding the Fourth Proportional to 30,374.64, 45,486.63 and 21,024

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Solution

The fourth proportional to 30,374.64, 45,486.63 and 21,024 is: 31,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.64 : 45,486.63 = 21,024 : x
  2. Step 2: Convert to fraction form
    30,374.64/45,486.63 = 21,024/x
  3. Step 3: Cross multiply
    30,374.64x = 45,486.63 × 21,024
  4. Step 4: Simplify right side
    30,374.64x = 956,310,909.12
  5. Step 5: Solve for x
    x = 956,310,909.12/30,374.64
  6. Step 6: Final answer
    x = 31,483.86

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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.