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Finding the Fourth Proportional to 77,089.95, 106,416.92 and 46,884.96

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Solution

The fourth proportional to 77,089.95, 106,416.92 and 46,884.96 is: 64,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,089.95 : 106,416.92 = 46,884.96 : x
  2. Step 2: Convert to fraction form
    77,089.95/106,416.92 = 46,884.96/x
  3. Step 3: Cross multiply
    77,089.95x = 106,416.92 × 46,884.96
  4. Step 4: Simplify right side
    77,089.95x = 4,989,352,803.10
  5. Step 5: Solve for x
    x = 4,989,352,803.10/77,089.95
  6. Step 6: Final answer
    x = 64,721.18

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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.