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Finding the Fourth Proportional to 38,232, 52,760.16 and 21,465

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Solution

The fourth proportional to 38,232, 52,760.16 and 21,465 is: 29,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 52,760.16 = 21,465 : x
  2. Step 2: Convert to fraction form
    38,232/52,760.16 = 21,465/x
  3. Step 3: Cross multiply
    38,232x = 52,760.16 × 21,465
  4. Step 4: Simplify right side
    38,232x = 1,132,496,834.40
  5. Step 5: Solve for x
    x = 1,132,496,834.40/38,232
  6. Step 6: Final answer
    x = 29,621.70

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1.5x scale

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.