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Finding the Fourth Proportional to 78,657.45, 108,547.10 and 42,847.38

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Solution

The fourth proportional to 78,657.45, 108,547.10 and 42,847.38 is: 59,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.45 : 108,547.10 = 42,847.38 : x
  2. Step 2: Convert to fraction form
    78,657.45/108,547.10 = 42,847.38/x
  3. Step 3: Cross multiply
    78,657.45x = 108,547.10 × 42,847.38
  4. Step 4: Simplify right side
    78,657.45x = 4,650,958,298.86
  5. Step 5: Solve for x
    x = 4,650,958,298.86/78,657.45
  6. Step 6: Final answer
    x = 59,129.28

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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.