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Finding the Fourth Proportional to 70,705.94, 97,574.62 and 38,875.10

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Solution

The fourth proportional to 70,705.94, 97,574.62 and 38,875.10 is: 53,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.94 : 97,574.62 = 38,875.10 : x
  2. Step 2: Convert to fraction form
    70,705.94/97,574.62 = 38,875.10/x
  3. Step 3: Cross multiply
    70,705.94x = 97,574.62 × 38,875.10
  4. Step 4: Simplify right side
    70,705.94x = 3,793,223,109.96
  5. Step 5: Solve for x
    x = 3,793,223,109.96/70,705.94
  6. Step 6: Final answer
    x = 53,647.87

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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.