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Finding the Fourth Proportional to 38,586.16, 53,248.05 and 21,358

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Solution

The fourth proportional to 38,586.16, 53,248.05 and 21,358 is: 29,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586.16 : 53,248.05 = 21,358 : x
  2. Step 2: Convert to fraction form
    38,586.16/53,248.05 = 21,358/x
  3. Step 3: Cross multiply
    38,586.16x = 53,248.05 × 21,358
  4. Step 4: Simplify right side
    38,586.16x = 1,137,271,851.90
  5. Step 5: Solve for x
    x = 1,137,271,851.90/38,586.16
  6. Step 6: Final answer
    x = 29,473.57

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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.