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Finding the Fourth Proportional to 70,802.24, 97,710.60 and 38,970.80

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Solution

The fourth proportional to 70,802.24, 97,710.60 and 38,970.80 is: 53,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.24 : 97,710.60 = 38,970.80 : x
  2. Step 2: Convert to fraction form
    70,802.24/97,710.60 = 38,970.80/x
  3. Step 3: Cross multiply
    70,802.24x = 97,710.60 × 38,970.80
  4. Step 4: Simplify right side
    70,802.24x = 3,807,860,250.48
  5. Step 5: Solve for x
    x = 3,807,860,250.48/70,802.24
  6. Step 6: Final answer
    x = 53,781.64

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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.