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Finding the Fourth Proportional to 64,715.95, 97,007.10 and 46,903.24

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Solution

The fourth proportional to 64,715.95, 97,007.10 and 46,903.24 is: 70,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,715.95 : 97,007.10 = 46,903.24 : x
  2. Step 2: Convert to fraction form
    64,715.95/97,007.10 = 46,903.24/x
  3. Step 3: Cross multiply
    64,715.95x = 97,007.10 × 46,903.24
  4. Step 4: Simplify right side
    64,715.95x = 4,549,947,293.00
  5. Step 5: Solve for x
    x = 4,549,947,293.00/64,715.95
  6. Step 6: Final answer
    x = 70,306.43

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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.