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Finding the Fourth Proportional to 77,364.32, 106,792.48 and 45,534.56

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Solution

The fourth proportional to 77,364.32, 106,792.48 and 45,534.56 is: 62,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364.32 : 106,792.48 = 45,534.56 : x
  2. Step 2: Convert to fraction form
    77,364.32/106,792.48 = 45,534.56/x
  3. Step 3: Cross multiply
    77,364.32x = 106,792.48 × 45,534.56
  4. Step 4: Simplify right side
    77,364.32x = 4,862,748,588.11
  5. Step 5: Solve for x
    x = 4,862,748,588.11/77,364.32
  6. Step 6: Final answer
    x = 62,855.18

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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.