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Finding the Fourth Proportional to 78,193.63, 107,904.58 and 46,343.62

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Solution

The fourth proportional to 78,193.63, 107,904.58 and 46,343.62 is: 63,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.63 : 107,904.58 = 46,343.62 : x
  2. Step 2: Convert to fraction form
    78,193.63/107,904.58 = 46,343.62/x
  3. Step 3: Cross multiply
    78,193.63x = 107,904.58 × 46,343.62
  4. Step 4: Simplify right side
    78,193.63x = 5,000,688,851.78
  5. Step 5: Solve for x
    x = 5,000,688,851.78/78,193.63
  6. Step 6: Final answer
    x = 63,952.64

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1.5x scale

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.