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Finding the Fourth Proportional to 99,684.92, 149,501.90 and 29,547.86

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Solution

The fourth proportional to 99,684.92, 149,501.90 and 29,547.86 is: 44,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,684.92 : 149,501.90 = 29,547.86 : x
  2. Step 2: Convert to fraction form
    99,684.92/149,501.90 = 29,547.86/x
  3. Step 3: Cross multiply
    99,684.92x = 149,501.90 × 29,547.86
  4. Step 4: Simplify right side
    99,684.92x = 4,417,461,210.93
  5. Step 5: Solve for x
    x = 4,417,461,210.93/99,684.92
  6. Step 6: Final answer
    x = 44,314.24

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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.