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Finding the Fourth Proportional to 78,596.16, 117,924.48 and 37,013.76

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Solution

The fourth proportional to 78,596.16, 117,924.48 and 37,013.76 is: 55,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,596.16 : 117,924.48 = 37,013.76 : x
  2. Step 2: Convert to fraction form
    78,596.16/117,924.48 = 37,013.76/x
  3. Step 3: Cross multiply
    78,596.16x = 117,924.48 × 37,013.76
  4. Step 4: Simplify right side
    78,596.16x = 4,364,828,400.84
  5. Step 5: Solve for x
    x = 4,364,828,400.84/78,596.16
  6. Step 6: Final answer
    x = 55,534.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.