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Finding the Fourth Proportional to 77,411.51, 106,832.11 and 43,430.76

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Solution

The fourth proportional to 77,411.51, 106,832.11 and 43,430.76 is: 59,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.51 : 106,832.11 = 43,430.76 : x
  2. Step 2: Convert to fraction form
    77,411.51/106,832.11 = 43,430.76/x
  3. Step 3: Cross multiply
    77,411.51x = 106,832.11 × 43,430.76
  4. Step 4: Simplify right side
    77,411.51x = 4,639,799,729.70
  5. Step 5: Solve for x
    x = 4,639,799,729.70/77,411.51
  6. Step 6: Final answer
    x = 59,936.82

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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.