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Finding the Fourth Proportional to 46,731.68, 70,109.70 and 15,567.20

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Solution

The fourth proportional to 46,731.68, 70,109.70 and 15,567.20 is: 23,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,731.68 : 70,109.70 = 15,567.20 : x
  2. Step 2: Convert to fraction form
    46,731.68/70,109.70 = 15,567.20/x
  3. Step 3: Cross multiply
    46,731.68x = 70,109.70 × 15,567.20
  4. Step 4: Simplify right side
    46,731.68x = 1,091,411,721.84
  5. Step 5: Solve for x
    x = 1,091,411,721.84/46,731.68
  6. Step 6: Final answer
    x = 23,354.86

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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.