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Finding the Fourth Proportional to 78,878.10, 108,854.02 and 43,070.38

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Solution

The fourth proportional to 78,878.10, 108,854.02 and 43,070.38 is: 59,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.10 : 108,854.02 = 43,070.38 : x
  2. Step 2: Convert to fraction form
    78,878.10/108,854.02 = 43,070.38/x
  3. Step 3: Cross multiply
    78,878.10x = 108,854.02 × 43,070.38
  4. Step 4: Simplify right side
    78,878.10x = 4,688,384,005.93
  5. Step 5: Solve for x
    x = 4,688,384,005.93/78,878.10
  6. Step 6: Final answer
    x = 59,438.35

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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.