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Finding the Fourth Proportional to 70,779.30, 97,715.72 and 46,938.16

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Solution

The fourth proportional to 70,779.30, 97,715.72 and 46,938.16 is: 64,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,779.30 : 97,715.72 = 46,938.16 : x
  2. Step 2: Convert to fraction form
    70,779.30/97,715.72 = 46,938.16/x
  3. Step 3: Cross multiply
    70,779.30x = 97,715.72 × 46,938.16
  4. Step 4: Simplify right side
    70,779.30x = 4,586,596,099.88
  5. Step 5: Solve for x
    x = 4,586,596,099.88/70,779.30
  6. Step 6: Final answer
    x = 64,801.38

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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.