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Finding the Fourth Proportional to 56,706, 85,059.36 and 19,770

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Solution

The fourth proportional to 56,706, 85,059.36 and 19,770 is: 29,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706 : 85,059.36 = 19,770 : x
  2. Step 2: Convert to fraction form
    56,706/85,059.36 = 19,770/x
  3. Step 3: Cross multiply
    56,706x = 85,059.36 × 19,770
  4. Step 4: Simplify right side
    56,706x = 1,681,623,547.20
  5. Step 5: Solve for x
    x = 1,681,623,547.20/56,706
  6. Step 6: Final answer
    x = 29,655.13

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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.