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Finding the Fourth Proportional to 77,371.68, 106,833.12 and 59,438.40

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Solution

The fourth proportional to 77,371.68, 106,833.12 and 59,438.40 is: 82,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371.68 : 106,833.12 = 59,438.40 : x
  2. Step 2: Convert to fraction form
    77,371.68/106,833.12 = 59,438.40/x
  3. Step 3: Cross multiply
    77,371.68x = 106,833.12 × 59,438.40
  4. Step 4: Simplify right side
    77,371.68x = 6,349,989,719.81
  5. Step 5: Solve for x
    x = 6,349,989,719.81/77,371.68
  6. Step 6: Final answer
    x = 82,071.24

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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.