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Finding the Fourth Proportional to 32,624, 45,024.96 and 19,376

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Solution

The fourth proportional to 32,624, 45,024.96 and 19,376 is: 26,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624 : 45,024.96 = 19,376 : x
  2. Step 2: Convert to fraction form
    32,624/45,024.96 = 19,376/x
  3. Step 3: Cross multiply
    32,624x = 45,024.96 × 19,376
  4. Step 4: Simplify right side
    32,624x = 872,403,624.96
  5. Step 5: Solve for x
    x = 872,403,624.96/32,624
  6. Step 6: Final answer
    x = 26,741.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.