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Finding the Fourth Proportional to 46,886.80, 64,714.80 and 30,971.92

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Solution

The fourth proportional to 46,886.80, 64,714.80 and 30,971.92 is: 42,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886.80 : 64,714.80 = 30,971.92 : x
  2. Step 2: Convert to fraction form
    46,886.80/64,714.80 = 30,971.92/x
  3. Step 3: Cross multiply
    46,886.80x = 64,714.80 × 30,971.92
  4. Step 4: Simplify right side
    46,886.80x = 2,004,341,608.42
  5. Step 5: Solve for x
    x = 2,004,341,608.42/46,886.80
  6. Step 6: Final answer
    x = 42,748.53

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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.