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Finding the Fourth Proportional to 75,298.64, 103,898.76 and 46,999.76

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Solution

The fourth proportional to 75,298.64, 103,898.76 and 46,999.76 is: 64,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.64 : 103,898.76 = 46,999.76 : x
  2. Step 2: Convert to fraction form
    75,298.64/103,898.76 = 46,999.76/x
  3. Step 3: Cross multiply
    75,298.64x = 103,898.76 × 46,999.76
  4. Step 4: Simplify right side
    75,298.64x = 4,883,216,784.30
  5. Step 5: Solve for x
    x = 4,883,216,784.30/75,298.64
  6. Step 6: Final answer
    x = 64,851.33

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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.