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Finding the Fourth Proportional to 78,244.86, 107,968.01 and 46,407.54

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Solution

The fourth proportional to 78,244.86, 107,968.01 and 46,407.54 is: 64,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244.86 : 107,968.01 = 46,407.54 : x
  2. Step 2: Convert to fraction form
    78,244.86/107,968.01 = 46,407.54/x
  3. Step 3: Cross multiply
    78,244.86x = 107,968.01 × 46,407.54
  4. Step 4: Simplify right side
    78,244.86x = 5,010,529,510.76
  5. Step 5: Solve for x
    x = 5,010,529,510.76/78,244.86
  6. Step 6: Final answer
    x = 64,036.53

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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.