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Finding the Fourth Proportional to 97,970.50, 146,976.54 and 31,457.35

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Solution

The fourth proportional to 97,970.50, 146,976.54 and 31,457.35 is: 47,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970.50 : 146,976.54 = 31,457.35 : x
  2. Step 2: Convert to fraction form
    97,970.50/146,976.54 = 31,457.35/x
  3. Step 3: Cross multiply
    97,970.50x = 146,976.54 × 31,457.35
  4. Step 4: Simplify right side
    97,970.50x = 4,623,492,460.57
  5. Step 5: Solve for x
    x = 4,623,492,460.57/97,970.50
  6. Step 6: Final answer
    x = 47,192.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.