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Finding the Fourth Proportional to 78,291.77, 108,070.66 and 46,460.66

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Solution

The fourth proportional to 78,291.77, 108,070.66 and 46,460.66 is: 64,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.77 : 108,070.66 = 46,460.66 : x
  2. Step 2: Convert to fraction form
    78,291.77/108,070.66 = 46,460.66/x
  3. Step 3: Cross multiply
    78,291.77x = 108,070.66 × 46,460.66
  4. Step 4: Simplify right side
    78,291.77x = 5,021,034,190.24
  5. Step 5: Solve for x
    x = 5,021,034,190.24/78,291.77
  6. Step 6: Final answer
    x = 64,132.34

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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.