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Finding the Fourth Proportional to 33,585, 46,347.57 and 18,681

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Solution

The fourth proportional to 33,585, 46,347.57 and 18,681 is: 25,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585 : 46,347.57 = 18,681 : x
  2. Step 2: Convert to fraction form
    33,585/46,347.57 = 18,681/x
  3. Step 3: Cross multiply
    33,585x = 46,347.57 × 18,681
  4. Step 4: Simplify right side
    33,585x = 865,818,955.17
  5. Step 5: Solve for x
    x = 865,818,955.17/33,585
  6. Step 6: Final answer
    x = 25,779.93

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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.