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Finding the Fourth Proportional to 56,322.84, 84,409.53 and 46,981.16

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Solution

The fourth proportional to 56,322.84, 84,409.53 and 46,981.16 is: 70,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.84 : 84,409.53 = 46,981.16 : x
  2. Step 2: Convert to fraction form
    56,322.84/84,409.53 = 46,981.16/x
  3. Step 3: Cross multiply
    56,322.84x = 84,409.53 × 46,981.16
  4. Step 4: Simplify right side
    56,322.84x = 3,965,657,634.45
  5. Step 5: Solve for x
    x = 3,965,657,634.45/56,322.84
  6. Step 6: Final answer
    x = 70,409.40

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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.