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Finding the Fourth Proportional to 98,113.95, 147,157.10 and 31,545.62

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Solution

The fourth proportional to 98,113.95, 147,157.10 and 31,545.62 is: 47,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.95 : 147,157.10 = 31,545.62 : x
  2. Step 2: Convert to fraction form
    98,113.95/147,157.10 = 31,545.62/x
  3. Step 3: Cross multiply
    98,113.95x = 147,157.10 × 31,545.62
  4. Step 4: Simplify right side
    98,113.95x = 4,642,161,956.90
  5. Step 5: Solve for x
    x = 4,642,161,956.90/98,113.95
  6. Step 6: Final answer
    x = 47,313.98

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1.5x scale

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.