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Finding the Fourth Proportional to 38,702.85, 53,404.85 and 22,784.13

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Solution

The fourth proportional to 38,702.85, 53,404.85 and 22,784.13 is: 31,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.85 : 53,404.85 = 22,784.13 : x
  2. Step 2: Convert to fraction form
    38,702.85/53,404.85 = 22,784.13/x
  3. Step 3: Cross multiply
    38,702.85x = 53,404.85 × 22,784.13
  4. Step 4: Simplify right side
    38,702.85x = 1,216,782,931.11
  5. Step 5: Solve for x
    x = 1,216,782,931.11/38,702.85
  6. Step 6: Final answer
    x = 31,439.10

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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.