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Finding the Fourth Proportional to 78,848, 108,814.68 and 45,316.16

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Solution

The fourth proportional to 78,848, 108,814.68 and 45,316.16 is: 62,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,848 : 108,814.68 = 45,316.16 : x
  2. Step 2: Convert to fraction form
    78,848/108,814.68 = 45,316.16/x
  3. Step 3: Cross multiply
    78,848x = 108,814.68 × 45,316.16
  4. Step 4: Simplify right side
    78,848x = 4,931,063,449.23
  5. Step 5: Solve for x
    x = 4,931,063,449.23/78,848
  6. Step 6: Final answer
    x = 62,538.85

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Why These Related Problems?

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