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Finding the Fourth Proportional to 42,038.66, 63,070.10 and 12,457.06

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Solution

The fourth proportional to 42,038.66, 63,070.10 and 12,457.06 is: 18,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038.66 : 63,070.10 = 12,457.06 : x
  2. Step 2: Convert to fraction form
    42,038.66/63,070.10 = 12,457.06/x
  3. Step 3: Cross multiply
    42,038.66x = 63,070.10 × 12,457.06
  4. Step 4: Simplify right side
    42,038.66x = 785,668,019.91
  5. Step 5: Solve for x
    x = 785,668,019.91/42,038.66
  6. Step 6: Final answer
    x = 18,689.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.