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Finding the Fourth Proportional to 70,802.42, 97,706.60 and 38,970.64

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Solution

The fourth proportional to 70,802.42, 97,706.60 and 38,970.64 is: 53,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.42 : 97,706.60 = 38,970.64 : x
  2. Step 2: Convert to fraction form
    70,802.42/97,706.60 = 38,970.64/x
  3. Step 3: Cross multiply
    70,802.42x = 97,706.60 × 38,970.64
  4. Step 4: Simplify right side
    70,802.42x = 3,807,688,734.22
  5. Step 5: Solve for x
    x = 3,807,688,734.22/70,802.42
  6. Step 6: Final answer
    x = 53,779.08

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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.