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Finding the Fourth Proportional to 46,567.71, 64,261.53 and 25,347

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Solution

The fourth proportional to 46,567.71, 64,261.53 and 25,347 is: 34,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,567.71 : 64,261.53 = 25,347 : x
  2. Step 2: Convert to fraction form
    46,567.71/64,261.53 = 25,347/x
  3. Step 3: Cross multiply
    46,567.71x = 64,261.53 × 25,347
  4. Step 4: Simplify right side
    46,567.71x = 1,628,837,000.91
  5. Step 5: Solve for x
    x = 1,628,837,000.91/46,567.71
  6. Step 6: Final answer
    x = 34,977.82

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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.