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Finding the Fourth Proportional to 86,416, 119,254.08 and 46,672

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Solution

The fourth proportional to 86,416, 119,254.08 and 46,672 is: 64,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416 : 119,254.08 = 46,672 : x
  2. Step 2: Convert to fraction form
    86,416/119,254.08 = 46,672/x
  3. Step 3: Cross multiply
    86,416x = 119,254.08 × 46,672
  4. Step 4: Simplify right side
    86,416x = 5,565,826,421.76
  5. Step 5: Solve for x
    x = 5,565,826,421.76/86,416
  6. Step 6: Final answer
    x = 64,407.36

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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.