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Finding the Fourth Proportional to 77,368.56, 106,828.92 and 59,435.16

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Solution

The fourth proportional to 77,368.56, 106,828.92 and 59,435.16 is: 82,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368.56 : 106,828.92 = 59,435.16 : x
  2. Step 2: Convert to fraction form
    77,368.56/106,828.92 = 59,435.16/x
  3. Step 3: Cross multiply
    77,368.56x = 106,828.92 × 59,435.16
  4. Step 4: Simplify right side
    77,368.56x = 6,349,393,952.83
  5. Step 5: Solve for x
    x = 6,349,393,952.83/77,368.56
  6. Step 6: Final answer
    x = 82,066.85

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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.