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Finding the Fourth Proportional to 65,714.98, 90,592.24 and 46,819.30

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Solution

The fourth proportional to 65,714.98, 90,592.24 and 46,819.30 is: 64,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.98 : 90,592.24 = 46,819.30 : x
  2. Step 2: Convert to fraction form
    65,714.98/90,592.24 = 46,819.30/x
  3. Step 3: Cross multiply
    65,714.98x = 90,592.24 × 46,819.30
  4. Step 4: Simplify right side
    65,714.98x = 4,241,465,262.23
  5. Step 5: Solve for x
    x = 4,241,465,262.23/65,714.98
  6. Step 6: Final answer
    x = 64,543.35

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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.