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Finding the Fourth Proportional to 78,192.82, 107,903.46 and 46,342.81

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Solution

The fourth proportional to 78,192.82, 107,903.46 and 46,342.81 is: 63,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.82 : 107,903.46 = 46,342.81 : x
  2. Step 2: Convert to fraction form
    78,192.82/107,903.46 = 46,342.81/x
  3. Step 3: Cross multiply
    78,192.82x = 107,903.46 × 46,342.81
  4. Step 4: Simplify right side
    78,192.82x = 5,000,549,275.36
  5. Step 5: Solve for x
    x = 5,000,549,275.36/78,192.82
  6. Step 6: Final answer
    x = 63,951.52

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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.