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Finding the Fourth Proportional to 64,970.96, 97,457.12 and 22,852.20

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Solution

The fourth proportional to 64,970.96, 97,457.12 and 22,852.20 is: 34,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.96 : 97,457.12 = 22,852.20 : x
  2. Step 2: Convert to fraction form
    64,970.96/97,457.12 = 22,852.20/x
  3. Step 3: Cross multiply
    64,970.96x = 97,457.12 × 22,852.20
  4. Step 4: Simplify right side
    64,970.96x = 2,227,109,597.66
  5. Step 5: Solve for x
    x = 2,227,109,597.66/64,970.96
  6. Step 6: Final answer
    x = 34,278.54

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1.5x scale

Why These Related Problems?

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