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Finding the Fourth Proportional to 70,401.63, 97,154.25 and 42,114

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Solution

The fourth proportional to 70,401.63, 97,154.25 and 42,114 is: 58,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,401.63 : 97,154.25 = 42,114 : x
  2. Step 2: Convert to fraction form
    70,401.63/97,154.25 = 42,114/x
  3. Step 3: Cross multiply
    70,401.63x = 97,154.25 × 42,114
  4. Step 4: Simplify right side
    70,401.63x = 4,091,554,084.50
  5. Step 5: Solve for x
    x = 4,091,554,084.50/70,401.63
  6. Step 6: Final answer
    x = 58,117.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.