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Finding the Fourth Proportional to 46,534.66, 64,217.54 and 25,314

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Solution

The fourth proportional to 46,534.66, 64,217.54 and 25,314 is: 34,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,534.66 : 64,217.54 = 25,314 : x
  2. Step 2: Convert to fraction form
    46,534.66/64,217.54 = 25,314/x
  3. Step 3: Cross multiply
    46,534.66x = 64,217.54 × 25,314
  4. Step 4: Simplify right side
    46,534.66x = 1,625,602,807.56
  5. Step 5: Solve for x
    x = 1,625,602,807.56/46,534.66
  6. Step 6: Final answer
    x = 34,933.16

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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.